{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false,
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "The autoreload extension is already loaded. To reload it, use:\n",
      "  %reload_ext autoreload\n"
     ]
    }
   ],
   "source": [
    "import matplotlib\n",
    "%matplotlib inline\n",
    "matplotlib.style.use('ggplot')\n",
    "\n",
    "import torch.optim as optim\n",
    "\n",
    "from envs.mdp import StochasticMDPEnv\n",
    "from agents.hdqn_mdp import hDQN, OptimizerSpec\n",
    "from hdqn import hdqn_learning\n",
    "from utils.plotting import plot_episode_stats, plot_visited_states\n",
    "from utils.schedule import LinearSchedule\n",
    "\n",
    "# for auto-reloading external modules\n",
    "# see http://stackoverflow.com/questions/1907993/autoreload-of-modules-in-ipython\n",
    "%load_ext autoreload\n",
    "%autoreload 2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "NUM_EPISODES = 12000\n",
    "BATCH_SIZE = 128\n",
    "GAMMA = 1.0\n",
    "REPLAY_MEMORY_SIZE = 1000000\n",
    "LEARNING_RATE = 0.00025\n",
    "ALPHA = 0.95\n",
    "EPS = 0.01\n",
    "\n",
    "optimizer_spec = OptimizerSpec(\n",
    "    constructor=optim.RMSprop,\n",
    "    kwargs=dict(lr=LEARNING_RATE, alpha=ALPHA, eps=EPS),\n",
    ")\n",
    "\n",
    "exploration_schedule = LinearSchedule(50000, 0.1, 1)\n",
    "\n",
    "agent = hDQN(\n",
    "    optimizer_spec=optimizer_spec,\n",
    "    replay_memory_size=REPLAY_MEMORY_SIZE,\n",
    "    batch_size=BATCH_SIZE,\n",
    ")\n",
    "\n",
    "env = StochasticMDPEnv()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false,
    "scrolled": false
   },
   "outputs": [],
   "source": [
    "agent, stats, visits = hdqn_learning(\n",
    "    env=env,\n",
    "    agent=agent,\n",
    "    num_episodes=NUM_EPISODES,\n",
    "    exploration_schedule=exploration_schedule,\n",
    "    gamma=GAMMA,\n",
    ")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
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9+vXO214QERERhZP49EOId5agNTkJGHS21uEAiOB9yK655hpcc801bsMSExMxe/bsSIVA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\nxhUpMufRxgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x116c06be0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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sz9Ha0yaJm1qtRk5Ojvg+JycHarXa6PjR0dH4/vvvcevWLbOm7dmzJ3r27Cm+\nz86W179LVWk0GqvXUZNwe1oet6llcXtanqXbNDsnBwoPT4uV54ycbT2tSqxC/i3xtZzphaJCAMDt\n27dRYGZ9tmrP8PBwWePZ5B63Ro0aITMzE1lZWbh79y727t2L2NhYyThXr14F3Xva48yZMygtLYW/\nv7+saRljjDEALvHUIGOm2OSMm7u7O0aMGIHPP/8cgiCgW7duqFu3LrZu3QoA6N27N/bv349du3bB\n3d0dnp6eePvtt8WuQQxNyxhjjLGayoUeEzWTze5xa9u2Ldq2bSsZ1rt3b/F1//79jfbPZmhaxhhj\nTA+fcGOmuMD6wb+cwBhjjDHmJDhxY4wxxpiTqeKpMxe4wsqJG2OMMRfiAtfCmPW4wOrBiRtjjDHG\nnIy5p85c4FTbPZy4McYYcx3cHQhzcZy4McYYY4w5CU7cGGOMMeZkau6ZVU7cGGOMuZCae0Bncjj/\n+sGJG2OMMcacjOs8bGAuTtwYY4y5Duc/ocKYSZy4McYYY8y1KVznDB0nbowxxhhzMjX31Conbowx\nxlwH9+PGXBwnbowxxhhzMq5z6dNcnLgxxhhjzMnU3DOrnLgxxhhzITX3gM5kcIFL6Zy4McYYY4w5\nCU7cGGOMuQ7nP6HCmEmcuDHGGGPMyZj5cAL348YYY4wxZi8199QqJ26MMcZcSM09oLOagRM3xhhj\njDEnwYkbY4wx1+EC3T0wa3L+9YMTN8YYY4w5Gdd52MBcnLgxxhhjzMlU9cyZ8yd8nLgxxhhzHc5/\nJYxZlfOvIJy4McYYY4w5CU7cGGOMuRDnP6PCmCmcuDHGGGPMyTj/vWpVxYkbY4wxxpxMzT2zqjT1\nYVlZGQ4dOoTDhw/j/PnzuHPnDnx9fVG/fn20adMG7du3h7u7u61iZYwxxkzjftyYKS6wehhN3LZu\n3Yq1a9ciMjISUVFRaNeuHVQqFYqKinDp0iVs27YNS5cuxVNPPYXevXvbMmbGGGOMsRrJaOJ29epV\nfPHFFwgKCtL7rEOHDgCAGzdu4I8//rBedIwxxhhjluICt8YZTdyGDh1a6cTBwcGyxgOA5ORkLF68\nGIIgoEePHujfv7/k8927d2PdunUgInh7e+OVV15BgwYNAAD/+c9/oFKp4ObmBnd3d0ybNk1WnYwx\nxmoaF7gWxqzHBVYPo4nbtWvXZBUQGhpa6TiCIGDRokUYP348QkJCMG7cOMTGxiIyMlIcp3bt2pg4\ncSL8/Pyr7UBgAAAgAElEQVSQlJSEBQsWYOrUqeLnEyZMQEBAgKyYGGOMMcZEChc41XaP0cRtzJgx\nsgpYuXJlpeOkp6cjLCxMTPI6deqExMRESeLWrFkz8XWTJk2Qk5Mjq37GGGNM5AJnVBgzxWjiVj4h\n2759O44dO4Znn30WtWrVwvXr17Fq1SrExMTIqiQ3NxchISHi+5CQEKSlpRkdPyEhAW3atJEMmzx5\nMtzc3NCrVy/07NlTVr2MMcYYY67EZHcgOitXrsSsWbPg6ekJAKhTpw5ee+01jB07Fl27drVoQMeP\nH8f27dsxadIkcdjkyZOhVquRl5eHKVOmIDw8HNHR0XrTxsfHIz4+HgAwbdo0aDQai8ZWkVKptHod\nNQm3p+Vxm1oWt6flWapNdTf3qNVquAeHmBzX1TnLeqpbZlWJtdDPH7fMmD7f2xsFAHx9feFrZn2O\n1p6yEjciQlZWluTS5vXr1yEIgqxK1Gq15NJnTk4O1Gq13njnz5/H/PnzMW7cOPj7+0umB4DAwEC0\nb98e6enpBhO3nj17Ss7GZWdny4qvqjQajdXrqEm4PS2P29SyuD0tz9JtmpuTA0VZzb5e6mzraVVi\nFW7nmzW9UFgIALhz+zYKzazPVu0ZHh4uazxZiVvfvn0xadIkdO3aVZyBnTt3om/fvrIqadSoETIz\nM5GVlQW1Wo29e/fq3UOXnZ2Nr7/+GqNHj5YEX1RUJD5pWlRUhKNHj+KZZ56RVS9jjDHGmCuRlbj1\n69cP9erVw759+3Du3DkEBQXh9ddfR+vWrWVV4u7ujhEjRuDzzz+HIAjo1q0b6tati61btwIAevfu\njVWrVuH27dtYuHChOM20adOQl5eHr7/+GoD2lxweeeQR2fUyxhiraWr22Tbm+mQlbgDQunXraiVM\nbdu2Rdu2bSXDyv/iwqhRozBq1Ci96UJDQ/HVV19VuV7GGGOM1XQ1oDuQ8kpLS7Fq1Srs2bMH+fn5\nWLp0KY4cOYLMzEw8/vjj1o6RMcYYY6waXOdMrJuckZYuXYqLFy9izJgxUNzrxK78pU7GGGPMIbjO\n8Zkxg2SdcTt48CBmzZoFlUolJm5qtRq5ublWDY4xxhhjrPpc51KprDNuSqVSr+uPW7duSbrsYIwx\nxuyO+JQbM8X51w9ZiVvHjh0xe/ZsZGVlAQBu3LiBRYsWoVOnTlYNjjHGGGOM3ScrcRsyZAhq166N\nd955BwUFBRgzZgyCg4O5PzXGGGOMORHnv2Qq6x43pVKJ4cOHY/jw4eIlUt29bowxxpjjcP5LYcya\nnH/9kN2PW0FBAa5cuYKioiLJ8JYtW1o8KMYYY4wxi3Ghc02yErcdO3Zg0aJFUKlU4g/NA4BCocDs\n2bOtFhxjjDHGWLU5/4k2kazE7eeff8b//d//oU2bNtaOhzHGGKs6FzpAM2aIrIcTBEFAq1atrB0L\nY4wxxpjludClUlmJ25NPPonVq1fr9eXGGGOMORY+5cZMcIHVw+il0tdff13y/ubNm1i/fj38/Pwk\nw+fOnWudyBhjjDHGmITRxO3NN9+0ZRyMMcYYY9blApdMjSZu0dHR4ut9+/bh4Ycf1htn//791omK\nMcYYqwr+yStmigusHrLucZs3b57B4fPnz7doMIwxxhhjFudCPxpgsjuQa9euAdA+VZqVlQUq903m\n2rVrkj7dGGOMMbvjM27MxZlM3MaMGSO+rnjPW1BQEJ599lnrRMUYY4wxxvSYTNxWrlwJAJgwYQI+\n++wzmwTEGGOMMcYMk/XLCbqkLTs7G7m5uVCr1dBoNFYNjDHGGGPMspz/UrqsxO3mzZv49ttvcfr0\nafj7+yM/Px9NmzbF2LFjoVarrR0jY4wxxhiDzKdKFyxYgPr162Px4sVYsGABFi9ejAYNGuCHH36w\ndnyMMcaYfPxwAnNxshK31NRUDB06FCqVCgCgUqnwwgsv4PTp01YNjjHGGGOs+lynOxBZiZuvry8u\nXbokGXblyhX4+PhYJSjGGGOMMctxnTOxsu5x69evHyZPnozu3bujVq1auH79Onbs2IFBgwZZOz7G\nGGPMDK5zgGYm1ODFLCtx69mzJ8LCwvD333/jwoULCA4OxpgxYxATE2Pt+BhjjDHGqsl1LpXKStwA\noGXLlmjZsqU1Y2GMMcYYYybIStzu3r2LNWvWYNeuXbhx4waCg4PRpUsXDBgwAEql7NyPMcYYs64a\nfAmtRqnBTw/LyrqWL1+OjIwMvPrqq+I9bqtXr0ZBQQGGDx9u5RAZq5lIEAAACjdZzxAxJ0CCACgU\nUDjwD16TIJi9zhERQKQ3nTPMb0UklEHh5i7+r1IZZWVQuFdtWr2yiAASTMai+x1xe7ezbr6NrUNG\nh5ebRyKqdD7IQNKmK/v+8qveuqebHiRUaXprkrV17t+/H++//z5atWqF8PBwtGrVCu+++y727dtn\n7fgYq7GEyW9DmPGJzeulw3tR9mo/UN4N29V564a2zn/2GB2n7L3hKJsz1WYxWVLZN+NR9skbEGZ8\nAmHuF3qf09VL2vlPPW6H6O4re7UfhJH9QYIAysrUxpSSfP/zae+jbPLbetPRT3MhTH1Xb7jwzceg\n/820aswAQFcv339TVFj1cs6lQRj5FIQ1SyGMfEo7/3dLTU9z6Zx2vIxT2vcZpyCMegrCzs3S8Y7/\nox0v+5pZMQlzPocw/nXT48z9AjT/S/F9acYpbV3nM+6Ps+ArlL39vPEytm/ULv+/1hn8vOz1ASib\n87m23EN/631Oxw9DGPUUyt4bDmH8KP3PiwohvDkIwrYN+nW/9iSEUQNAudchfPEeyl7th7JX+xmP\n9bUnQYvvr1fCljUQ3hoCYcU8CG8OAp06CmFkfwivPan9fP6XoK1rtSPnZOmXt2QWyt54Rjps4pva\nuEY+hdvL5xmNxR5kJW6GslvGmJVdOgukHrN5tcKOTdoXl8/ZrtLLF6R1G3IzF0jeb6OALOzUUeDq\nJe3yTNKfBzp1VPs/cZetIzNMEEDpKQAA2r/9/vCMU8CFDL3Raedm4Hy6fjmnT0intxIqv51U46QT\nXbui/b+jXNJVXGx6mhOHtf8Pa09kUO517Qcnj0jH27NN+/+smf2fHjkIXL9qepyk/ZIvPcUHtYkV\nHTl4v/7E3cDtfKNF0MqF2v+/LjI8wt27QPIBAIa3U7qeqX1xM9dwvAV3gJJi0J8rjQRAQN5NwNz2\nqfsAaO1yoLAAtH0jUFKi9wVQkmj6BuhXvSceKC2RDsy8KL68s/Yn82KyMlmXSh9++GFMnz4dzzzz\nDDQaDbKzs7F69Wo8/PDD1o6PMcYYY8ywoBDg8nl7R2FTshK3F154AatXr8aiRYvEhxM6d+6Mp59+\n2trxMcbsxR4n2vnsvoPg5VBdxG1YgQ3bw9R+xHlutzRKVuKmVCoxaNCganW4m5ycjMWLF0MQBPTo\n0QP9+/eXfL57926sW7cORARvb2+88soraNCggaxpGWOMMQD2zzn5y0c12KDtXGDxyO7L4/r16zh/\n/jyKiookwx955JFKpxUEAYsWLcL48eMREhKCcePGITY2FpGRkeI4tWvXxsSJE+Hn54ekpCQsWLAA\nU6dOlTUtY4wxC3KBgxtzMLZcp1x8/ZWVuK1duxarV69GZGQkPD09xeEKhUJW4paeno6wsDCEhoYC\nADp16oTExERJ8tWsWTPxdZMmTZCTkyN7WsaYBTlR1w2MWQVvAlXAjWYrshK3DRs2YNq0aVVOlnJz\ncxESEiK+DwkJQVpamtHxExIS0KZNG7OnjY+PR3x8PABg2rRp0Gg0VYpXLqVSafU6ahJuTyldpwHV\naZOqtOkNDw+UAAgIDICXjZZHSWAgbgDw8PCA2kidlmiP6qrqOlqxA4iKZRT4+SEfgErljQA7zt/9\nNg5BkZ8/bgHw8lIh8F5MxpaBucPLs8R2r2s/AAgKCoJHFcsr9NfOs0LhJp60CQlRw81P/0lEnTs+\nvrgNwNvbG/4aDYr8/ZEHwMvTC0Hl4rjp5YViAAH+/lCZEZ+cNqw4TsG9vtJ8fH3gV8myE8sol3cZ\nGqf8OmxoOy3w80X5Z1YrllFGd5EN7QkfTYWYdIICg5BrogxDsXh6eqCkQtKoUqmg6xRGo9FIxi/f\nJhXLK19fZdusPclK3Pz8/FCrVi1rxwIAOH78OLZv345JkyaZPW3Pnj3Rs2dP8X12drYlQ9Oje8KW\nWQa3p2HVaZOqtGlZqbbfqlt5t6Cw0fKgvDwAQGlpaaXx2nMdsdQ6WrEM4fZtAEBRUSFKHGAbyM7O\nBt3rOqK4uEgvXmNtYO5wwDJtqms/ALh580aV11shXzvPVK7T1ZycXCiKSoxNAqHgDgCgsLAQxdnZ\nEG7dAgAUlxRL5ku4163Irfx83K5CfHLaSDeO6l7n3QV3ClAkc9mVv7xYWV2GtlPh9h2T9VCuNiUj\nIqPl37wp7TtSzjyXFJeg4rXRonJ9+VUsw1CbyKnPFvud8PBwWePJStyGDx+O+fPno2/fvggMDJR8\nJicLVavV4qVPAMjJyYFardYb7/z585g/fz7GjRsHf39/s6ZljDHGGHN1sn+r9OjRo9izR79X85Ur\njXSmV06jRo2QmZmJrKwsqNVq7N27F2PGjJGMk52dja+//hqjR4+WZJ1ypmWMMZfg4jdVW409n+Q0\nt25bxFrTn2x18fmXlbgtXLgQgwcPRufOnSUPJ8jl7u6OESNG4PPPP4cgCOjWrRvq1q2LrVu3AgB6\n9+6NVatW4fbt21i4cKE4zbRp04xOyxhjzEpc/MBnE9yEUlZbp2zR0I61MGUlbrqEya0aP3bdtm1b\ntG3bVjKsd+/e4utRo0Zh1Cj93zczNi1jjLkcfjCv+myddJr7FLYtntp21ifD+QuDLLIysX//+9/4\n/fff+TdLGatJeHuvuZxu0TtdwDWPLfcnFq/LsRJhWWfcNm3ahJs3b2Lt2rXw8/OTfDZ37lyrBMYY\nsxc77KSc9QwBY8zxuPiXTlmJ25tvvmntOBhjDsMOOz0X39HK5ojN4IgxWZs581xx3a1sXXaFhxMc\naXs1GIul43Og+YXMxC06OtracTDGGHMYBEe7PCSba18lc2AOlNw4UCjWYDJxS05Ohre3t/hzVFev\nXsWcOXNw4cIFNG3aFG+88QaCg4NtEihjzFb4UqndOFQzONHRz5qhVlY2P5xQAzhWe5p8OGHlypVQ\nlFsB5s2bBx8fH4wdOxZeXl748ccfrR4gY8xe+JJpjVV+OTjWMcsIR1xvHDEmC6lKYugoDyc4xfps\nmskzblevXkWjRo0AAHl5eTh16hS+//57qNVqNG7cGO+9955NgmSMMcbksUSCUJ0yXDhhM8USiVlV\nyjB4i5uJclxg8Zg841b+bNvp06dRu3Zt8eem/P39UVRUZN3oGGN2xJdMbc4FDip24ZC/nGBkXXaF\nhxOYXZlM3Bo1aoRNmzahoKAA27ZtQ+vWrcXPrl27Jv6eKGPMFfGl0pqLl0P1cRtK2bI9XLvtTSZu\nw4YNw5YtW/DSSy8hMzMT/fv3Fz/btWsXoqKirB4gY8zG7HHSq6afadPhZnA+/HCCc3GBpjF5j1tk\nZCT++9//Ij8/X+/sWt++faFUyupNhDHGmDMhI6+dgb3utRKnrX71Ds9Q+1Q237LapSqNZ2AaoYbe\n41ZaWiq+NnRJ1NfXF15eXpLxGGOMuQoXODVhCdwMTsgFsjMTjCZu77//PtatW4fc3FyDn9+4cQPr\n1q3D+++/b7XgGGOsRnGo441DBWOaPftxM/fsHD+cwKrJ6LXOzz77DL///jvee+89+Pn5oU6dOvD2\n9kZhYSEyMzNRUFCAuLg4fPbZZ7aMlzHGmLXV9H7cLNKjiAsnTzLuoSMiSc8UVmsPg5dta+hPXgUE\nBGDo0KEYMmQI0tLScOHCBdy5cwd+fn6oV68eGjduzPe4McaYJTlFkuTgbJ0wVUxiKqvfZR9OsMS9\nhdUvoiaoNPNSKpWIioriJ0gZY8za+MBVNY7Yj5ux5IkvlTohx/pGZbI7EMZYDWaXfT8fcBwDL4dq\nq+nJk978O8hPXrkATtwYY4wZ59rHQCNq5EzLZ8fEiOTU7eL3uHHixhhjTIoAR7s8ZDdmN4NjHeRt\nprIzbHKaxUIJF7n4MuDEjTEmZZcbmzlJAMDN4Iz4lxMcj8XzNsdqT6MPJ6xcuVJWAYMGDbJYMIwx\nVqM51IkChwqmElaMlftxcyyuPG8yGU3ccnJyxNclJSU4cOAAGjduDI1Gg+zsbKSnp+Ohhx6ySZCM\nMcZsycn6cbP4LU3ctYVJcs7o6c2/Dftxs/wKYeHyqsdo4vbGG2+Ir2fOnImxY8eiY8eO4rADBw5g\n37591o2OMcYYq0z5g7e9z8g41jHehizSa7FlxrH3OmBlsu5xS0pKQocOHSTDYmNjkZSUZJWgGGOO\nwA47Pxff4ToNXg6suiquQ7Zcp1z8HjdZiVtYWBg2b94sGbZ161aEhYVZJSjGmD3ZYSflWPtF++F2\ncD78cAKzMVm/WTVq1Ch8/fXXWL9+PdRqNXJzc+Hu7o533nnH2vExxmzOHmfabF+lQ3LEdnDEmKzO\njJk2t6PZKp550vvtTyvUYUYwViq3CuPwPW6G1a9fH9999x3S0tJw48YNBAUFoWnTpvxbpYwx5oqc\nuh83Cx9knbUZbK2yhxFsmfu4+KX+SjMvQRDw4osvYsmSJfx7pYzVCHyplDkb1z5Qs3LskpQ51g6q\n0nvc3NzcEB4ejvz8fFvEwxhjzO4ITpUMWfPKWJXLdqL2swZbdQdisG6+VIpHHnkE06dPR58+fRAS\nEiK5zt6yZUurBccYYzWKY32x13LEmEyx9TG24n1nlSUNVX1wgEj+tNZ+OMFQ+RZJliy08Gr6pVJA\n+wQpAPz222+S4QqFArNnz7Z8VIwxVhO59vHGiuzYcEaTBCPJE/9yQjXxpVJZiducOXOsHQdjzNHY\nY+fvyscbZ+LSB35bqeltaMd+3FyczR4LTU5OxuLFiyEIAnr06IH+/ftLPr98+TK+//57nD17Fs89\n9xz69esnfvaf//wHKpUKbm5ucHd3x7Rp02wVNmOM1Ww18XjLSYZp9mwfOd2B8D1uQEFBAX777Tek\npKQgPz8fVK5R5s6dW+n0giBg0aJFGD9+PEJCQjBu3DjExsYiMjJSHMfPzw8vvfQSEhMTDZYxYcIE\nBAQEyAmXMWYJ9ujE07GuSNiQI864I8Ykg6UP2nKbQTeesfqrvT1VYb7MqbPai9sSv+9qqWXnWImW\npcn65YSFCxfi7NmzeOaZZ3D79m2MGDECGo0Gffv2lVVJeno6wsLCEBoaCqVSiU6dOuklaIGBgWjc\nuDHc3d3NnwvGmOXxpVIbcrQZd7R4nEBlTWaX7cmcjoStXbczr1OO9SVG1hm3o0eP4ttvv4W/vz/c\n3NzQvn17NGrUCNOnT8cTTzxR6fS5ubkICQkR34eEhCAtLc2sQCdPngw3Nzf06tULPXv2NGtaxpgZ\n7PJzOY61Y2ROhi9t1iD8I/OyEjcigo+PDwBApVKhoKAAQUFBuHr1qlWD05k8eTLUajXy8vIwZcoU\nhIeHIzo6Wm+8+Ph4xMfHAwCmTZsGjUZj1biUSqXV66hJuD2lrt37X502qUqb3vD0QAmAgIAAeNlo\neZRkBeIGAA8PD6iN1GmJ9qiuqq6j1yq8r1hGgZ8f8qHdvwbYcf50caqD1Sjx98ctAF4qLwTei8nY\nMjB3eHmW2O7v+Pri9r3XgUGB8KxieYX35rm8kJAQuPn6V1q3t7c3/DUasQwvDw8ElYvjppcXigEE\n+PtDZUZ8YhuGaKAwckWqYjsXuGkvpvn4+sCvkmUnllHuu5Ohccqvw4a20/LLQBtvCBReKvF9af4N\n5ELbG4WmQkw6gYHa/YCpOKikGFnlY1EqUVrhi5+nh3YfpiujfD0+PvfbpOK8la9PGhs51LFJ9k9e\npaSkICYmBs2bN8fChQuhUqlQp04dWZWo1Wrk5OSI73NycqBWq2UHqRs3MDAQ7du3R3p6usHErWfP\nnpKzcdnZ2bLrqAqNRmP1OmoSbk/DqtMmVWnTspJSAMCtW7egsNHyoJt5AIDS0tJK47XnOmKpdbRi\nGcJt7SGvqKgIJQ6wDeTm5oLytSlMcVGxXrzG2sDc4YBl2lS4fUd8nXfzZpXXW+GWLm27f8YmJzsH\nisJi49Pc0dZdWFiI4uxsCPc6qy8uKZHMl1CsLeNWfj5uVyG+7Oxso4lb+XEAQCUIAICCOwUokrns\nyp/Iqmx5GNpOyy8DbRk5UHh53S/+5k3tfyKj5efdG8dUHFQiXRald0tR8SxcSUmJ+LpiGQUF+m1i\nqj45n1lKeHi4rPFk3eM2cuRI1KpVCwDw0ksvwdPTE3fu3MHo0aNlVdKoUSNkZmYiKysLd+/exd69\nexEbGytr2qKiIhQWFoqvjx49inr16smaljHGnIMDXyp24NDuc4BLYxXbqeItB3Z52MdKDyfY5XYK\nM1j8Uqljza+sM26hoaHi68DAQIwaNcqsStzd3TFixAh8/vnnEAQB3bp1Q926dcWOfXv37o2bN2/i\nww8/RGFhIRQKBTZu3IgZM2YgPz8fX3/9NQCgrKwMjzzyCFq3bm1W/YyxKrDLsdABDsB24WDz7eL3\nCFlFZd1U1LSHE7gfN6uRlbi9//77iI6OFv/8/PzMrqht27Zo27atZFjv3r3F10FBQZg3b57edD4+\nPvjqq6/Mro8xxpgF1MTjbU2cZ3M4ej9uVq/UvmQlbkOHDkVKSgo2btyIWbNmISwsTEziOnbsaO0Y\nGWOM2RTB0S4PyVatY6yBic1tBmslEg5/xqqyM2zO/CPzjkVW4tayZUvxx+Tz8/OxYcMGbN68GVu2\nbMHKlSutGiBjrAZw9HtmmGNz8QM1K88e3YE41v5JVuKWlJSEkydPIiUlBTk5OWjSpAmGDBli8MlO\nxhgzW40/8DrWgYFV5VcKKvvchR5OcCQ22XU41v5JVuI2bdo0hIaGon///oiLi+NfN2CMMYtyrAOD\no4XjFEjvRYXPq9uoVZjeoR5OkDMJr3hyyErcPvvsM5w8eRL79+/HypUrUbduXURHRyMqKgpRUVHW\njpEx5ur4UqkDcqKDqOSAX424DU3qRM1gV7ZKuuTU4+IJoKzErXnz5mjevDmeeuop5OXlYePGjVi3\nbh1WrlzJ97gx5rIcvPsCZj3llwPn1KwiOV+09DZlW27bfI8bDh48iBMnTiAlJQWZmZlo2LAhHn/8\ncb7HjTHGXF1NzKX5C4RpNmofIoJCL0mU8bSqxeNzrPVBVuK2ceNGREdHY9iwYWjatCk8PT2tHRdj\nzO4c/GZql+KI8+2IMdmB3GbQjWfsGF/ddbsquYPTPZzgWAmSo5KVuE2cONHKYTDGHA9fKrUdR5tv\nR4vHDNVZh6o1rRXLripbPpzgSL8c4cSrrxyyErfS0lKsWrUKe/bsQX5+PpYuXYojR44gMzMTjz/+\nuLVjZIzZkl26LbB9lcyF1NiEvwaStahd+x43WT8yv2TJEly8eBFjxowRrzeX/61RxpgLscuZAdtX\n6Vgc68BQ41XpsmRlnzv4rQfOugryT14ZlpiYiFmzZkGlUomJm1qtRm5urlWDY4wxZgeOdZySoVzA\n1TqQW2DGrZZIOPpCqeShAVn9uMkZh7sDkXXGTalUQhAEybBbt27B39/fKkExxuyIL5UyAI6fKJRj\nzVCdqBnYPS7+k1eyEreOHTti9uzZyMrKAgDcuHEDixYtQqdOnawaHGPMjlz8W6tjcbS25n7czOZI\nN+dXpU5zwnP4ftxcm6zEbciQIahduzbeeecdFBQUYMyYMQgODsYzzzxj7fgYY4zZU4083tbImZbP\nrr+SYI9LpY61Psi6x02pVGL48OEYPny4eIlUv1M8xphL4W3chhyxrR0xJiurzvFZbC4jhVS7H7eq\n/PC9DR9OsESyxGf5ZZF1xq28gIAAKBQKXLhwATNmzLBGTIwxR8A70Zqrisue7LXO8LrqgKx0qdgu\nP1bvWF9iTJ5xKy4uxtq1a3Hu3DnUqVMHzz77LPLz87Fs2TIcPXoUcXFxtoqTMcYYsw1OBJ2HoWVV\nky+VLlq0CGfPnkWrVq2QnJyMCxcu4MqVK4iLi8PIkSMREBBgqzgZY8yFOdaBgROXKqhJDydUpW5e\npyzGZOJ25MgRfPnllwgMDESfPn3wxhtvYOLEiYiKirJVfIwxW7PLvW2OdSmCVRGRndYfR+rHrfpF\n2LRcS7FIYmapzt5cm8l73IqKihAYGAgACAkJgUql4qSNMcYszhETVyc6QFo1VJmFV1yEFRNY/uUE\n26nJ97iVlZXh+PHjkmEV37ds2dLyUTHGGHNCTpTsWVtNvzRokdmXcf9aVbsMqW4cdmQycQsMDMTc\nuXPF935+fpL3CoUCs2fPtl50jDHG7MSxzjI4j5p6rdQCasAsWoLJxG3OnDm2ioMx5nAc/GZql+Jg\n8+3Uy6EasVdnviubtKY9nFCl7kAs1WWIM6+/lTO7HzfGGLM47uzXNdjteOnaB2pWDvfjxokbY8wB\nuPg35Mo51oGBVUFli5AfTnBijrV/4sSNMcZYBVU8UPEvJ1gvFkeaRzn04rXUb4w6WTtYASdujDH7\n40ulzFKq1Y0bJwVVZpHfKq1+EdpyXHs5uk+cOHGinBHz8/Nx4MABJCcno3nz5sjNzUVBQQF8fHys\nHGLV5efnW7V8Hx8fFBQUgAQBtHIhUFoKRZ1IAACVloJWzAO8VFBoQsVphB2bQCePQNEkutr10+nj\noD9/BaJaQeGuBCXtB+3cBLRoC4WJAyFdyACtXQ40joLC08vgOMKWNaALGVA80FT7fs1S0K08KCIb\nSMsqLQX9NBeUlgL4+Vde7t5toMP7oGj+oLQcQUDZivm4W1ICRVhEufJLQD/NBVTeoIO7QDs2g04c\nFudZLHfbBtC+BNDhPUBEAyh8/Uy2nV6bEIF+XQSUlojLUNZ0WVdAv/0PqNsQCh9fCFt/B509DUXD\nZvb2TK0AACAASURBVPdj27UFdOwfKJq21NazajFQVABFeD3DZerWnfMZ2gG5WYCnCvTnSr15o9Tj\noI2/Ak2iQT8vAFQ+UGhqi5/7+PjgzvEkCLMmg47/AyTth7BrM+h/MwEfX9CebUCL1lC4uYPOp0N4\nbzhw7bJ24roNoWgSDbp6GfTbYqB+Iyi8ffXiFdYsA926CUo7ATp9HIrGUaBL50C//ABhy1rgXBoo\naZ92nH3bgeg2wNXLoNWLgfpNQEcOgFbMBwrvADdy4NZvsLQ90k+C1q0ALp699z4FUCigiHzAQNvp\n1hdtO9DRRAjjXwc8PYGGzbRtBEARGl75wtXN395tEH78HriQAZ/2nVFYVKRfryBoyxYI0ISCVswD\nZWWCdm0G3coDjiZKxleE1wVtXgNh3U9Q1A4HMk4BZ08D59OhaNEGCrUGdDMH9OP3EOZNA/3xMxQP\nNJHETZcvgNYs0dZz9BAUUa1ApaUQPnoVtHsrFHGPQ6Fw0y7X/30LOrwfigaNoPD1NzifdLdUuz8B\noOjyOHDqCJB+Erh0DvTHz6A/fr4f/xODgMvnQWuWgm7dFOeP9iVA0aAJFCG1ICRsAI7/o52gdhiE\nz8beL+dOPihpH+DjBxzei+LJb4OS9wMZqYDSA/APBK2YD7qTD0r4A2jYDAovb/1lc297o3NpwNVL\n2hhOn4CiQRPQ8X8gbPwV9MsPwKWzgEIBWr8CVFQAYcNK0IGdUNSuA/r9JwhzPgddOQ/siQdKiqXL\n6oFmEH5fDkrYAEVEfSBIDVqzDJSfB9q9FbTxN+2I5zOAG9mAjy+QkgzkXANu5IjHAGHtcuBOPhR1\nG0DRtCWE9T+D9iVA+G0x6JcftO2SmwW6dA6o21C7DwgIAv39lzaOfz0LhdLj/vI69Ld2+41uDfrj\nFwC4v+3s2ISyS+eg8A8EFeSDjh8GTh3VfpZ7HWjVAbiRDfplIVA7HLTuJ+36p3M7D3Q0EVC4QREa\nDmHLGu086eRkgVKPgrZvhKJFG8DTE/TNeOnCyc8DpR4DHdoDNG0BZGWCDuzUtm/udVBpCfDPXuk6\nWFx0f/8DgDashKJ1B9Cm1aD0kxC+GQ86uBsoKrg/0c0c/UQtP+9+GeXWWwBA5kXg4llQdhbo8F5J\n+9Gls1C0aAvalyDdZon09kvW4O9veNusyORTpTopKSn45ptv0LBhQ6SmpuLJJ5/E1atXsX79enz4\n4YfVCtQl5OeBtv0B2vYH3H9Yrx129RJo1xbQySNwn7pAHJV+utedSp9nql2tsHwukHkRirg+QP1G\nEL6fCgBQ/OsZICDY+HR//AIkH4CiXWcgpp3BcWjVEu2L7k+ASopBm1Zr3z9U4fdpr10C7d6qneZC\nBnDyiOlyF3+nffHk89IPbuagcOMqwMMT7t+vuj8886J253j6hGSDVnR5DGjQ5H65v9xvY2jCtAcW\nc+TngeLXg+LX31+GMtDf8dqdZ3g9KHo/pU3iAKBnv/vj/Hjv6ewnBgEFd0BbfwcBxuu5t+6I0+/Z\nBtqboN05VZg34SftOoAHmmrbKS0F7pO/lxQnrF6qPXBdOiv5QksrFwIAFN37AhH1IaxbIY2j7K52\nvN1bQHu3AfUaQtHj39L5Ly0BbVolne6xAaDk/aDE3dpxdAeEPdu09fV5BrT9T227NWwG+rFcvEFq\nveYQfl0kPaicPAI6eQTo2E1vXFy5KGkHYf50bQyrl0LRrjNo+0bQvu1w/+9K/WmN0K2zdPY0yga+\nBHio9Ee6maOdp91b4TbhO9DOzfc/uzffknma/+X910tnQdGxu2R+3cd9BTqRDDq46/7wWZMk6wz9\n9bu2DXXv/z1Ym7zkZmsH5GYDmlAIv/8EnDyiHSeiHhT9XzA8o1mZ91+XlQJuJi7I3LoJ2rIGtH+H\ndP5yr0P4eT7cP/1OTJIBgBZ9K5mcEjZo/59Lw+17CTkungVdPAs6cgBuoz7UJiz3kha0aAdF+0f0\nwtBtb4reT91ft3OvQ1gxX7vO68bbvwN0+bw2+T/0tzhcuFsKnEjSvqmQRIjjrF8BXD6vfb16Kdze\n/BS0ebX+iHdLQbu2aPdNAFBWJj0GhNTW7sMU2nbVSygAcXkqmrQE/f0XqNw+Ty+ue+uQ4rH+96e/\nexcKpRJuuu3IP0C6fQGgPfFQDBgKOrwPtHebNvHWJdi6cbZv1P4/uAvu3/18/3hQ3ukT2nEO7YHC\nwP6e9iWIrxUduojzrYsBe+L1yzxyUH8+f/4BSE+5P+BGtv505sjP0yaQB3ZqY+s78P5nSfuBHv/W\nazNHI+tS6ZIlS/DWW2/h448/hru7OwCgcePGyMjIsGpwLuGOFc/6VbXsYv0zBhZR4ZtqlZSWGB5u\nzrwKQvXjkKusTPvf2qfmdeVXnLfbt6TvDbVT+W+nphQXSt/rDtzWmMd7SaHepZFgjf64BXfML1/X\nDiUG1qeiQv1hlnK31Pxp8m8B7uV2xYW65VVJe5fKrKv8chXKZAalAIycNdchQ20LmLe8DI1bleXt\nVSGZLjRQhqHmLDZznyVn3am4ndxbFxU+985Wm0qITdZnZH0wMFjh6al94eFpvGxdnLpt0RA5y4Kq\nub/1q+Qsk7FjQg0maw26fv06YmJiJMOUSiXKyuTuBFycoQOaTa+xV+wvp4rTVWU0ySkcMjDQyGR6\nvV+bWbe1+xyyGkvdoGuBaSqbVk6ZRqetwjQWYaME2lS1VQnBUr3Ml4/P3HamCm9MTu9o9xBZ8ab2\nqtxkb1Z5BkeqYnkkHWa0Lgsvv0qLo6rXafUvxTauzwJkJW6RkZFITk6WDDt27Bjq1TN8jw5jzNYc\nf2fDmF05wQG5apx9vvjBJHPJusftxRdfxPTp09GmTRuUlJRgwYIF+Oeff/Dee+/Jrig5ORmLFy+G\nIAjo0aMH+vfvL/n88uXL+P7773H27Fk899xz6Nevn+xpGWOMMcZqAlmJW9OmTfHVV19h9+7dUKlU\n0Gg0mDp1KkJCQmRVIggCFi1ahPHjxyMkJATjxo1DbGwsIiPvP73n5+eHl156CYmJiWZPa3+2+JFb\nU9VX5adFzBjP1LwYujQj9xKb5MlXO18rtdmVUitd0qlW/Fb4mR97XWYzVa9FuiuQsz7a6VopVbcc\nqvDSVFtWoxpZoVTnMq+Fmbt/re7nxsapyqonaxpLNF5l81z5KFUuu9qqePy0I1mJGwCo1Wo8+eST\nVaokPT0dYWFhCA3VdovRqVMnJCYmSpKvwMBABAYG4vDhw2ZPy1iN5wQ7G8bsylbbiK23RWff9rkP\nR7MZTdz++9//muwLTGf06NGVjpObmys5OxcSEoK0tDRZAVZnWpux8wk3/bos8NCBZDwzz57IKlfm\nt5zq3DhvDpvt1C00jmUmMj1ptc4O2ulsjcmyrXhmoToPBVR1Gv1CqncmpeJN7nZ7wORe/ZYe32Ix\nV1aONc/sVlZfxaseVlpfTZVn9HNHfTjB+RJfo4lbWFiY+Do/Px87d+5Eu3btoNFokJ2djX/++Qdx\ncXE2CVKu+Ph4xMdr+4aZNm0aNBoDXQtYkFKphEajQZmCoOtZRldnaV4OcgEoFG6SOK5VGK86rru5\nQQAQFBQID41GLFutVsNdbbz8G56eKAEQEBAALyNxlI9TKCzAdSNxl97SziegbY+7cssN0UBxr2sZ\nACgTSvXaEABKb17XtqObm2SzDwoKgoeBdgUAH18f+JnZvmVuMFh/ZfK9vVEAwNfHF77lloGxZS54\nKo22pY5u3TGk4rzp1gE/X1/kA//f3rkHyVVc9/87j30/56HHb4UcmUUi4BgkscREQQIsRVW2kyrK\ndnCcykPIhLLXtn5y4hSKk8ImoFgVI4Nli4j6IYTBVU5UjnFMynZhBYNCFvsnaaWfJWGxkhAgoZWW\nee17d3Zm+vfH7MzeO3Mffe/tvnPv7vlUgfY++pzu0317+p7T3RfBoLq9hcPhcr3oUbJlKlwH5QYT\nJV0jjY2YnNXRXJFnNjWJoQp58XgcY83N0NtIIBqNYrwks7UVyg1M6urqEK3QkQiFoLV+Xct+M+kh\npDBnB2W7iESiSBqk1UMpIxQKa6ZVtt9IJFLWw0VgdqPkko7ZfmWytRUVm72odA83NkC5sU88FkNu\nYrTcdiKRCMLxOFJ1c/Xa1NSMNr12Nz5cTtvZ2YlpkzocbaiH1mYawVCoyvZ6BEMhaG0m0d7egYzq\nuA2NGvku6WhuUuc1OPtcKAlptKO6OnWb10KZLlwXRiQWKz/DWjQ0NKrqpfQbkGlowDSKdd1qYp+O\njg6kAdWzG4vFEGye2wC73N9HInN9VyyGQH0Dxma3HGma7Z8qiUajmGppwRjMbWBWly0tLaiPRHT7\nLABo72gHCgVVnZbQqislZv2XU2JRdX22d3Ro5lP2eMIKugO3P/7jPy7/vXPnTuzYsQM33HBD+dyZ\nM2fw7/+usQmhBtFoFMnkXFeWTCYRjVZvtOk07aZNm7Bp06bycSLhcKM+E0qDWJaea7IlnSxTrHrG\nCpr5EJG3wux2LJlMBgGFvFQqhUBB31uan91/aWRkRJVOi0QiAabYS6gy36VyAkAul+OXm0wgEJwb\nuDFFHSt1lO1YsX9ZJp3W1TExPoEpi/ZlGW39ZhQmi7YZnxjHpCKdXp0zxY7eenqUNq2ksmyFWbuM\njY2Xj5Vy4/E4cib7fZXaT75iD7KJ8XFMJRIozH4pYGx8HBOV9a+xJ2AikUBhQn/vuFQqBVaSOTam\nujYzM1NlF71th7TsxzJF+1baAQDSGs+pVfL5HDJaelNzstPptDWhrFivZR25XNGGFbYB1PkuTE1X\nX1O0nXQ6jUBdI/LZuXqdnJzAtF67U+Q7k8mAjevv4ZVKpVDQ2QOtkM9z27egU7cjw8Pq45ERjBnI\nnKjYb0xLrlY7muHYC0+ZLjeTU/0eaTFd8WWN0m9AyV4TE+b90/Bs+Ut9KgAkEwkEmqv3kUul5uot\nkUwiUFePhtl+YXJSe9+5VCpZrl8zG5jV5fjYOCZM2vzI8Aj09nsrmOy7qbSBDJIpdX1Wtr0SsscT\nANDVxfdFF67tQAYGBrBy5UrVueuuuw4DAwM6KdR0d3djcHAQQ0NDyOVy6OvrQ09Pj/S0rqHpaq2h\n+5VbtYjFCcq/TdzzglXPX1ye3C5lDzhJ+kyRHKLlCd3XtM06WSRhJXzmwwfTbrvj3XOSVw9j1ftY\nOqK63sryXQsDcrQX2/a3l8y2fB+ETrkWJ7z//e/H97//fXzqU59CfX09stksDh48iBUrVnApCYVC\n2Lp1K3bu3IlCoYC77roLy5cvx4svFj+VtHnzZmQyGezYsQOTk5MIBAL4yU9+gm9+85tobm7WTEuA\nJnUScxh1NtROFjbSqt/NdmVRl2ab9/4Psi1qPdBw2gyof7IM18Ctt7cXe/bswV/+5V+itbUVY2Nj\n6O7uxrZt27gVrV27FmvXrlWd27x5c/nvzs5O7Nu3jzutt9CaoO/iwyR7OxDeCd9WtwNxrlwcrr2Y\nSppE7Sj/NrxmpjdZXNAiCunbgQi7SUAaDRFOPH9VzroaLTABbCysEHQPT0LH3kgO75OV8mvWuZl8\nm7p45OldF2V/4VS53CTrcw7XwG3x4sV45JFHkEgkkE6nEYlEPDVRjyAI73c2BFFTvLRy3FuCawt5\n3CzD/bXbsbExnD59GqdOncLp06erJhUTNcD1eQwScbR1QQ3021fkkh6lSo8uwyfmkLkJql3Rpunc\nnKto0ctFbdcYkfYhU7sO9+KEL37xi/j5z3+Ot99+G4cOHcIXv/hF7sUJ8x6PrU0QPvPfcvhJYNxi\nIXbAtiJtThYY2E9qaw84qb/3skO0PIsTathmnYTAtD5WzqXIL4iaHO/QNmZhaC4dyls16o1pXROg\niysPejo8+gJpdfGJB+AKlT7zzDO477778Pu///vlc319fThw4AC+/vWvS8scYQK5mIkytDiB0GFe\nLE6wiFab9/uXE3TF+nxxgpfbkUfh8rgNDg7i937v91TnbrvtNly5ckVKpvyHx1xuwuf9c3pPGKs+\nxy2Sw5PBmydbSIsn2bjdI4sTeHZht7MdiKVtJzjv4UGIw42nPdrxdFmwLbccLZmGAszzpLoukapI\nqcDJ/FaxvB2IzrFyaotIh6ZmH2w2jUa0h5ijfjwbPfFfmJ1r4LZ06VL09fWpzr322mvl74cSBFFj\nfNDZEERNsf2MePzZcvrse7x41LdVwxUq3bJlC3bt2oWf/vSniMfjeO+99zA4OIgdO3bIzh9hxLxa\nnCD5fmnyLLr5a1FXTje+LIedJIQ0eMK48z3UGwhotz/L5ebwfloRWdNNeK16QWR6TRy2v/Lj46F2\nbLdNmMmyg5l+L9nNI3AN3K6//np8+9vfRn9/P9LpNG655RasXbsWra2tsvPnD7Q6iZoOpjh1i97H\nrSq0ZlvowsZW23FgT0dt1UYo282wlvqiPPkOIqVCEbaPWw1Dk7IQ5nFzOqDlCBtaWvRl1AfzTEUw\nv8WxDOZAkdtheR/8NnEN3IDix6A3bNggMy+EVehNhChh1NdQO1nY0OIEd3FjzpjNW6VAixNcR3fg\ntnPnTvz93/89AODBBx9EQOdBeOihh+TkjLBArZ9cAdR6HzfXbOinuvJTXn2Oa191qKE8S7qt9gdy\nsjF/IYP5Gd2B2x133FH++8Mf/rArmfEtXguVCv+clNWwF497XnA4dz7heqjUflJ7+7i5ODdKsF5d\nCZ7Zx81JzHaeP2vCPjLvUA5P2NCSCq3wOKu6JEiZTRnMvhrax60K3YHb7bffXv77zjvvdCMvhFWs\nbL/hBlLmSom630ycfCMynm0A7Au3d82uTEIwLs2/sybQ4XUHVE0rszgnzPbG4AKQFSrVrV8b+rz0\n5QSaymEZrjlur776KlasWIFrrrkGly9fxpNPPolgMIj77rsPy5Ytk51HwipCFh1wytOaDC10bQIN\nHrhwZCaXFyfIRPLaBCn7uMnCyfSDebk4wSU5OrZhyg7SpgzT/FS9zAuMfjiR4ad93Lzy/BrAtY/b\nv/3bv5VXkD777LPo7u7GDTfcgKeeekpq5ggT6E2FKGPQ2VA7WdjQ4oQinh04aGA3VFoLnDYDDzcj\nr8I1cBsZGUFnZyey2SzeeOMNfPrTn8YnP/lJvPXWW5KzR3Dhpw5Jj1pPx3HDhp5+69TAR1n1PUJs\n7b/pAwbKTY7N7icM8VM/RFTBFSptb2/HlStX8M4776C7uxt1dXWYnp6WnTf/4LXFCdwIDqlaSiBL\n9zzA7TkrMtIahixlzo2SHCt1cx83p+3A0cvQfBwoiZrraSyH6V0vR0oZR160flP0btVofG5vzm6q\nhqfMekllL05wWZ8AuAZun/jEJ/DAAw8gGAziS1/6EgDg5MmT+K3f+i2pmSNMsLLJoiv4eHGCKzjo\nvExFS1ic4Esb+xURg0rRomu5OKFysYHZ/SbpeWSIQupcSlkKHeBYPcVKrcI1cLvzzjvLH5lvaGgA\nAKxcuRLbt2+XlzNfodVya/gwCd9qg3dxgoW3PNoOxACXy+zI42ZHpszyyRjA8siX4HJzvC2Mg5eh\n+ehwE+Xxsf0pMMXCAZGfE9OsclZ9TTe9zOdCcVnaC4RD5tN2IJXkcrnyJ68ikQjWrFlDn7yqNTTp\nnChh1PlSO1nY0OKEIn56CbTkcKtxuRwvTvBwO/IoXAO3U6dO4dFHH0VXVxfi8TiSyST279+Pv/mb\nv8EHP/hB2XkkzPBRf6RLrb+c4MriBPirrmr9g7CQcPszSTUQ50i5SA+VbKQ9NwLl0rPta7gGbvv3\n78f999+PdevWlc+99tpr2L9/Px5//HFpmfMNHouU8ipnjPNlyWLYi0+ugDDtfMVWkWtlJxsTq2oU\nKRUzj0xv4rnGlIFaoAqbOXgZmpf7uInKM0dY0FA/4whF253jVjldReC0FScyuBZk6KW1l8y+Au+3\nba7tQNLpNG677TbVud/93d9FJpORkimCE88tTnCA5ek4osvshsdNosvNcGxtV+c8aFd+QeaEdtvV\nX0MvV5VoiwNJPw4sVdic4yY3kXRRBB9cA7cNGzbgZz/7merciy++iA0bNkjJlO/w2nYg3KoFeL00\n3/B53vKsqvZq7yAhX17bDsSoXp1uByJyIYuZYpnRSM0J4rwyObx4tmRp1ZeDtNyCPIqoT7+ZitG5\nv/wvxwucZhSHo/FVLhBzbTsQjvYiyv6iqXK4eb9tc4VKL1y4gJ///Of48Y9/jGg0ilQqheHhYaxc\nuRJf/epXy/c99NBD0jJKaECTOokyBp0NtZOFDS1OmMUlz7Pb8xWd6nOaXnoz8P5Aym24Bm4bN27E\nxo0bZeeFsIsP3hDMqXEZbKu30ms5eOusBaWsln8Ea/RDPd8HnoEAxMy/49ElWqAknO7jJhSH7c+L\nzVdpr1o/X7XW70O493EjjND0axunYAwBWQ1W9B5pVudPCQ1/+WigIww7ITKX9ZmmNWw0gnRriTYK\nlXo1VmpVF2caGdUqQnatsJ1nUfPnFDFTkYs/NJqepRy6tKLevtlk568qVipZn3MM57g9/fTTquOX\nXnpJdfzoo4+KzxHBj9vzGMyQOs9KoC47+oXokKlHwoDFK+1qISBzUCktQiizfVj9MeUYXGnamOcl\n0/wWcz0iRNh5SbKkwB5ORZHHzTKGA7dXXnlFdfzcc8+pjk+ePCk+R37ETn8g9UdRtMeN13tiRa5F\n3Z4dREjIly1Hi5NBM69srbq2kR+rzilL3geLbdUqMrYDEbkaVGVbC/VVdf8CcbnZig5Y9JaxivOM\nQ4btOW4V/aXwxT92ZTDYbjPSFyfo1JeHMRy4Mc/+WBIA6E2FmMPoUaV2srChxQlFRIVK3UDYy4oL\nyG4GtS6fBzEcuEmbg0UQVViOR9RYfwmLixN8xWx+aXGCXESVj+cHzjeLEyqPBc4JcxtPNl8P24sw\nxXBxQj6fx6lTp8rHhUKh6pgAbMZKZWREkmjOsJcgker7FmIH4zRGZjWphLSGIq3GSgUhZBoZxzwj\nUW3WlhwntrVQBl8+l3ZDdWLEzKVn9qbSWJlW4PoUE4724tU248PNmw0Hbh0dHfiXf/mX8nFra6vq\nuL29XV7OCHO8Nv9L5jyrqsnH9lXZ0y9Ch8TOS8ZqSo80qwWBJxcn1HKem8MfU6GboguasygLWxs1\ni9TvMP1896hLwHDgtnfvXmGKTpw4gQMHDqBQKGDjxo24++67VdcZYzhw4ACOHz+OhoYG9Pb24tpr\nrwUAfP7zn0djYyOCwSBCoRB27dolLF9CsNNJSH22OYWL2A5Ecy0616shn26bt7uHhIw59rQITmu0\nOMHOSjeZX06QvjhBgmgeL54dWVYDAapHuZb9lyQ07WGj/Vkd0JYfH8VzJNSjqeVlNXpmnejiyIKe\nCtsvkG5H9rzfuLn2cXNKoVDA/v378Q//8A+IxWL4u7/7O/T09OCaa64p33P8+HFcuXIFe/bswdmz\nZ/HUU0/hn/7pn8rXv/rVr5KHrxJ6UyFKGPU11E4WNrQ4YRa7A4da/JBbeVlxUZcW0hcnSJbvQ7i+\nVeqUc+fOYenSpViyZAnC4TDWrVuHI0eOqO45evQoNmzYgEAggFWrVmF8fBzpdNqN7M0D5kHLFrWF\ngv0M2ExnoddiTvTUgtm81nrgV2v9sgkEXPF6FHUJlieLmvcHDqjMi6jmK7SMSlm1fr5qrd9/uOJx\nS6VSiMVi5eNYLIazZ89W3ROPx1X3pFIpRCIRAMDDDz+MYDCIP/iDP8CmTZvcyDY/dlzwMjsa0V8l\nsDx/SqB73ksdslvYmrMic36hwX2aswRMQkFakR1hSJjrxyPfyT5uFlUZp3FgXNvhOZ8grC+xGUa2\nso+bparQCI/zREoNp0BYROZ8SNrHrQpXBm5OefjhhxGNRjE8PIxHHnkEXV1duPHGG6vuO3ToEA4d\nOgQA2LVrl2ogKINwOIx4PI7cxAiSs+dKOrMdHUgDCASCqnxcVdwXCDsz/3vBIAooLhJpiMfLsiOR\nCMIGZU/X1yMLoK21DU069ynzmUcBCcWxklI5ASAUDCHPKTcWjSHY3lE+PzOSREpDx3RHBzKYdUoo\n5JTKXCkXAJpbmtFqse5zk6NVdcjDaFMTJgC0NLegRVEHmnUeiyIfKJjqUdq0ksqyldpA02w+gkF1\newuHwwiHw8gZlKGjowP18ThS4TrMKM43NTaiLR7HSGMjJgG0tBTLqCQfYOW2USIej2NsNj9aRCKd\nmJiV2draglHFtXA4jFiFjkSo2K4q0bLfdHuxvZTsoGwXnZ2dmm3MDKWMUCikmXZmNFWW3dHZqVt/\nmgSAxll7AEBotl+ZqLBNZb6HGxswpbgWjUSQHx8u6+7s7ERdPI5U3Vy9NjU1o02v3Q3Ntbv2jg5k\nmxr167CzE2MN9ZjWuBactdFVjWta92rNYGpra8Ow4ri1pQXNGvku6VDaDyjWP8/MqLpwWNXmtQgE\nAuW+J1wXRmc0WtXmldTX1yGrSl9si6V+t6mpCS2xGN4zkNHW2ooRQPXsRqNRhKLV/UpHR3u53qLR\nKEKRGEZnvdQNFW2kRKSzE9MtLRir0KGFWV22tLSgrlO/zwKA9rY2sEIBIxrXQuGw5vNdIhgMcNWl\nXSKRSLlPBoC2dnXbKyF7PGEFVwZu0WgUyeScaZLJJKLRaNU9iURC857Svx0dHbj11ltx7tw5zYHb\npk2bVN44pTwZxONxJBIJsHSmSicbLlY9Y0wzH4lEwvHArbQdy8jwCAIKHel0GoGmNt10+WyxWxkd\nG8W4iY0SiQRYKqU6VlIqJwDkC3luuclUEoHsXJfJMtU2VMqvfCkaGRlWlVnJxMQkpizWPVOE5a20\nm8Jk8edifGICk4p0mnWeTAIZcz1Km1ZSWbZSG5icnCgfK+XG43HkckbdMjA8XLRlvuK+yclJTCcS\nKEwVu/7x8XFVGQGApVOoJJFIgE1OVp0vkU5nwKaKP/ljY+Oqa7lcrsou+bx2t65lPzZStF2lQH3R\nMgAAHAVJREFUHQAgo9PGrJDP55HS0qvoA4YVerhgwNTUnL3yszYoVNgGUOe7MK0eNqVSKUDRdjKZ\nTLFeZ+aes8nJCUzrtbvMXNqR4WHjOsxkUJjOal4r5PPc9i3o1O3IiHrIOjY2hgkDmVMVedXeqqra\nlTJj8mwAAFPIyuXyRTsbkM2qh4KMFdtiqd+dnJzEVDKplbTM6Gix/DmFfVKpFAIaxRpW1HkqlUIg\nz1A322FOT2kNrYu/EWx8fLZMxjYwq8vx8XEEMvp9FgCMjI4COtuH6T3fJWRvO1Y5JWt0pPJ1qYjs\n8QQAdHV1cd3nyhy37u5uDA4OYmhoCLlcDn19fejp6VHd09PTg8OHD4MxhoGBATQ3NyMSiWBqagqT\nsw/l1NQUfv3rX+N973ufG9m2gJ2VbDJDpc7uq/5iBu8KQQv6uYtvw53v9cnEjtToVZojoXxCeFdP\nW/r8jdUVexyi7VzjFc+1ArTGIbnydav5sBDu9eMUBjtTWioT8uzBZl4x/DJ4Qt+qW5j2v9w67MLR\nXjy7LZGF3zuP4IrHLRQKYevWrdi5cycKhQLuuusuLF++HC+++CIAYPPmzVizZg36+/uxbds21NfX\no7e3F0DxbaL0Mft8Po/bb78dq1evdiPb/sErnajMeVay5yG4YUKpm1BKkOuRZrUgEGJrwRVW037F\n6o+pwHm1NkQL0WNbp505sdaTSMN0bYKXMusNXJvjtnbtWqxdu1Z1bvPmzeW/A4EA7rvvvqp0S5Ys\nwTe+8Q3p+XPEfNvHzekgSeQ+bp5/ZkW+tZZE2umIJU7+tbyPm8kA1Wgiv9ONU6Xv48bj9RAl02E7\n4K0uzWsCBkqew+7AzaFHpvz4KPsKgfbV9MpxeNFtBDNMZele5ymzUVqJVFWv99u2K6FSQjZeaWhO\n8mF1oOtLl5s8PVLEeqVdCcLTHbLbXhqPY/Xl0e67oozNwkUg7GVFN5HO3w5FycDTz21toIGbdBbS\nHjUSy2pFtKv7frlcv1LLpiNbik4LMhfCPm620rmUZj5j1fY894vcx02pT9r4pdaNotb6/QcN3IRg\nFJPQe9oEhm1su3p588YZ9rLie+f9jIydMrodagT43/i51NgpmwN76IVCebweeudMQ5Yi4zRmGSpd\nkvnmbhD+5UquFSLmVzknQ+N55M5ORZjVdC8+ifZ0/JkpzsbKU1cqk5pMAzCUqagPXhmWNyKuTG8k\nX9QzyNmxedVxVmFjPzj4aOBGiMOtH0aiGj/0NgRRS2zPn/T4s+X3Z9/Mi+n38kmABm4i4PVEqK4L\naIy6DZ5TNrfDzcx7Yke9U6+gV5DgORJdZKehRquLE8wmIhtNr3G8OMHomkAvt+F5q14SgV75Su8Q\noI5E8dqHyyPk4RCXVpu3W/2WvX86epXPkZ3fB552UuWp4/BAy3wulNdt65H9G1DVCUnW5xwauM0L\nvN/QTLHakQkvsgs2dLKyiks2YYyHbSQka4LL56k2ZTc8aUGGqGRu7Itm81aHiXRESW4nXmqGHoEG\nbtLx8Fupn7DiNaLFCXaFu6jTq/VZA2hxgn+wU1eiFicQxCw0cBOBoVtbL7QiUK9tbxRP2Efj2FSE\nnYmqJnayspeSrcnh1pNU6tTfVV+hhGsytI2yOVmswb04gTd8YxIKUnoene6RpaXbxiV+8RzPsygP\niNW9IFlFGrMJ6ob6zLzDEr3HVXnRVqV63kSH3PWUO/Hsqfoyzrq13F9w9t0iq48rDOpAIe3jVgUN\n3Ahx0OKEGkL2McUHHTLhMk5fpETczy2DY46bHzH1Kvq8fBKggZsQrDxkvNc50GvwvB2HiEnRdt9s\nHW9Z4hUUniNhAwPBHkOnHaOR50Z3Gwszb42ObseLE3j12oXnmRH1Q28nvxppeBcnWFHNKgXXAKO6\nFhpitBCB0Lh97tiK585Km9f4m8vbquf1loATD5/07FmsXw9AA7f5gFfamZMGb7kzFFxor3deXMJF\ni/RKwxKEl4vj9oT2GohzplzWizDPS6ZN0U6wpNPOi57V8G8tkR0q9Xr5q6GBm3QW0ORSmRNpPWtG\nz2bMBrQ4oSbQ4oQaIuHLCQ5VONbnRR1e1u9DaOAmAsNIqd7kUJHzIKy+nZrkwZJ3S+PNzc4EXrNJ\n91WXRYfERLyxC5qgyxPeqDptkIjbm6nTjnj2hKpMZ7qgRadeecOxhrJtXeSUz2F/UXOirDqZGKto\njho2NnxsKm80e8Ykeiq4+iADm4ucilFVtxYrpip8aUGG0QIMrfzN3sRMn1kGa/21ATzTRJxshUTb\njVRBAzfCH/jQne0qZB5zqA0RlcjY/82NDW1V9zpX52ncnuPmA2jgJgSTt0HuNBbRXZzgVLAFD57E\nqSW25ddkTgoTqNeOvQ3SiPqkDO/CAVNbGLmAnBrRgefRiXgZc4ZsydGwLXckykIZGLMiWA5GWRQZ\nfhPeRDn6Cks6tOqNw5sm9EWGo0AitmORgW1vbe2ggdt8wCsNzc3tQESrcsOEQleeasgWLlO8SEIH\nt700tZDnRLesrHDJrcmboIVbbeRPK6RuG5cHVuIVSJYvHhq4SWcBTbysxa7+Ncer+bIDLU6oCbQ4\noXZYtQdPXVUONIQtTpA0wKj181Vr/T6EBm4iMAwh6TxsIp5BaYsTrLztarjp7ezjZrqXlRV3tpvx\nVUX+uBYB2LCNpj4LcO8ZpdOODOtVq+3rnFflR0emzH3cvLjlBmDgieVpTxqyKq8bRab15DFw3Oui\nh12znRmEdrnD/zz3VOjhCiNr6FD217wyrM7B49q/TSeNXczaSvker4ZKXdYnABq4EQKR2OC9/yzV\nFq+Eyz0N2YiohOdFSn4uHCl1nD+PPxfSI6UeL78GNHCTjsy9zbzmYqZ93DwJdzuhUGlNkB0qDej8\n7RgP14vTNu9Yrn0VjvVZV+KCDi/r9x80cBOBjSiH0FF+VVSBVzZnGJc7/GQSHjZWYizfijvb1mRd\nAeECRZ60PzjP7JlGdY0zvG0F3Si1XW+ESSiIN3RnC069tsVz2N/xalD9U8YiKtqXo/3kuGKl8uDq\ng0SE+wT2VaZilH2ZwzC42XmzUKsq5Ou07+MI/TrR4fbiBB844GjgRhDzAh/0NrXGhyERgheZ0zSc\nDIDd0Onzdm3qcHN7jpv3oYGbEIzeBnXdGQLU6rxVOXS4WXrDlOxw0xUq2hlguzoUdWDm7eDeDsSG\n18iOl64qsY6Njd7ebS0mUHpzKnXakVch2t5FTvk8FWDjh17Pc2mYTuuERj64s1bhwTL1tMv8xePo\nIIzK5WRvQrP7TZu3WV/FIUPZr3Deqrrf1OOm1GGuwjwDZm2Vt+/TES8Vjj7IY9DAjRCHzAbvg4ep\nppB9zCETzV/mW/u3EioVEer0NLI9bl4vfzU0cJPOAlqcIPUj8x4raxmv5ksBLU7wNm4uThCKh+tF\nVpuZj4sTav181Vq/D6GBmwjshHeEDvIthDZVt3FOdrUSXjGSayTU0KWvdX3uuHohgKuxUkV6s5gU\nZ3jJ1j5uDvLP/SavVyaNc7wLWuzuv8Uju/qiM9lGEhxESotpHIaIS3q19nHjlcl0D6zJEQFXH+TU\n6HaxaRtl/yhyMr/BAjFm1F/o9q0W4enWnITWpbc10xOegwZuBDEf8H5fU3t8GBIhOJlvVWuhrfq/\nWZt9S1m2fv8ZMFzrDPgV9sZJTL0ZBhsZAbv67tz5E78q/nthoHhiYqx8TpX+5FGgsclZJkaHZ3Wd\nBYKhOdkDp4HhtH66dKL476UL2nmbyc79feJXYOmk6lh174WzcweT44ZyVelePwG0dcwdX35HU0fZ\njoVCtd5QqfmqHzx29V1T/VX5uXpZU79puqHB4h9X3gV+fWTuwon/CxZUvxexU/3A+JipnnKZNfNZ\nUbZSGyjV6eiw6vpUezuQSRmX4c03ivYtySidTwwV679UxsFL1fWvaBvlc78+CpYc0td39jRY4sqs\nzIvqi1OT1XYZ0W7Lmm33rVnbVdgBmC2nQVoeZs6cBBu6Wq1XUQ52/oxFoVmw1Htzx8PpYv4Uz0RZ\ntvLZqLAx+80JQPmsnnu9+Ewqzw1d1m93b5+f+/vNAdM6hN71kQy/fUcy2uffeVN9/O7b1TLzubn8\nVLRdXbm8+vXIJMHO/Nr4nlI/WGJivJj3sREAAEtcBV4/biyjVPeKZ5f95gTwbqT63rfm+mD2+v8D\nLl9EIZWoSq+EDZwGrlwqHkxPGmbFtC6vXDIf+lx80/74iBXM73EAGzitPlHZ9jxIgGlvODUvuHz5\nsvlNNsk/9L+BSxekyScIgiAs0BExfmG1Q0sbMD4qViahIvDRe8B+crDW2TAl9H9+LF1HV1cX1300\ncLMJG7yIzuZmZDKzb2zBYJVXSPNcYPZ/osxeqUNLJ0+6SgIBqOZBGN3f1Fx8+81mOeTO/k+j/J3R\nKDIpjTfEksxSngIGdg0E+MqvBa/tjNKVJtoqy1dZZh49JW8dY3Nl0ktXOq9xvbOzs9hGld6/Qh6o\nbwSy00AoCOQVaUKhooyWtrKHwDTP5fqpKGdHJzAyDFWdKeUo0wWCQHOrWmeljrr64tt3Llf8V+8R\nqsxrqUyM2atjRdvqbG+fe+aN9FbWSUND8Xy+AAQDc88KMJempRWYnKh+ngMBIFwHTE/p61TqDoUA\nMHW9VurSo6m5qG9i1mvU1gGMDRfrp65urj1OT6v1h+uA+npgalLxLACobyjWVyFf/LuuvljGUhsp\nFNDZ2YHMxBSQm1Hn0aBdl1E+b7FFRf0lG5bqLRgotpVCodgmhzPV9qhvmNMfDBXz29IGhENAOlV9\nv7Lt1jcUyz8+Nne+raPYliv7o5bWOa+7sj8LoBhBmMmi/AwpdQQrntMSpXvq6orHM8UydHZ2IjOT\nK+oq2yFYjPIo21iljRf/L+C9wWKelOUNoGiPujogly96+rVs0tpeLHddfbEsrKDurxsai+24pK+5\nBYgvKUYs8rPtpLGpWI6m5mIfNT2tfo6y00U9+Xyxz0jPeqvDdcV76+uLz1dsETA6Mlf+UKiYn6mp\nYvpSGQqFYj/Y2KxuO6E6oK0NGB1F/PobkByr8KRKgAZukDtwA4B4PI5EImF+I8EF2VM8ZFOxkD3F\nQzYVD9lULG7Zk3fgRosTCIIgCIIgfAIN3AiCIAiCIHyCa6tKT5w4gQMHDqBQKGDjxo24++67VdcZ\nYzhw4ACOHz+OhoYG9Pb24tprr+VKSxAEQRAEsRBwxeNWKBSwf/9+fOUrX8Fjjz2G//mf/8GlS5dU\n9xw/fhxXrlzBnj17cP/99+Opp57iTksQBEEQBLEQcGXgdu7cOSxduhRLlixBOBzGunXrcOTIEdU9\nR48exYYNGxAIBLBq1SqMj48jnU5zpSUIgiAIglgIuDJwS6VSiMVi5eNYLIZUxbYPqVQK8Xi86h6e\ntARBEARBEAuBefXlhEOHDuHQoUMAgF27dqkGgjIIh8PSdSwkyJ7iIZuKhewpHrKpeMimYvGaPV0Z\nuEWjUSSTc59dSSaTiEajVfco90kp3ZPP503Tlti0aRM2bdpUPpa97wrtlSMWsqd4yKZiIXuKh2wq\nHrKpWBbkPm7d3d0YHBzE0NAQcrkc+vr60NPTo7qnp6cHhw8fBmMMAwMDaG5uRiQS4UpLEARBEASx\nEHDF4xYKhbB161bs3LkThUIBd911F5YvX44XX3wRALB582asWbMG/f392LZtG+rr69Hb22uYliAI\ngiAIYqExrz95RRAEQRAEMZ+gLyc4YMeOHbXOwryC7CkesqlYyJ7iIZuKh2wqFq/ZkwZuBEEQBEEQ\nPoEGbgRBEARBED4h9LWvfe1rtc6Enyl9T5UQA9lTPGRTsZA9xUM2FQ/ZVCxesictTiAIgiAIgvAJ\nFColCIIgCILwCfPqk1duceLECRw4cACFQgEbN27E3XffXesseZJEIoG9e/cik8kgEAhg06ZN+OhH\nP4qxsTE89thjeO+997Bo0SJ86UtfQmtrKwDg+eefx0svvYRgMIh7770Xq1evBgC8+eab2Lt3L7LZ\nLNasWYN7770XgUCglsWrGYVCATt27EA0GsWOHTvIng4ZHx/Hvn37cPHiRQQCAXzuc59DV1cX2dQB\n//mf/4mXXnoJgUAAy5cvR29vL7LZLNnUAk888QT6+/vR0dGB3bt3A4DQZ31mZgbf+c538Oabb6Kt\nrQ3bt2/H4sWLa1Ze2WjZ87nnnsOxY8cQDoexZMkS9Pb2oqWlBYDH7ckIS+TzefaFL3yBXblyhc3M\nzLAvf/nL7OLFi7XOlidJpVLs/PnzjDHGJiYm2LZt29jFixfZc889x55//nnGGGPPP/88e+655xhj\njF28eJF9+ctfZtlsll29epV94QtfYPl8njHG2I4dO9gbb7zBCoUC27lzJ+vv769NoTzACy+8wB5/\n/HH29a9/nTHGyJ4O+fa3v80OHTrEGGNsZmaGjY2NkU0dkEwmWW9vL5uenmaMMbZ79272i1/8gmxq\nkdOnT7Pz58+zv/7rvy6fE2nDn/3sZ+zJJ59kjDH26quvsm9+85tuFs91tOx54sQJlsvlGGNF2/rF\nnhQqtci5c+ewdOlSLFmyBOFwGOvWrcORI0dqnS1PEolEyhM6m5qasGzZMqRSKRw5cgR33HEHAOCO\nO+4o2+/IkSNYt24d6urqsHjxYixduhTnzp1DOp3G5OQkVq1ahUAggA0bNixYmyeTSfT392Pjxo3l\nc2RP+0xMTOA3v/kNPvzhDwMofky6paWFbOqQQqGAbDaLfD6PbDaLSCRCNrXIjTfeWPamlRBpw6NH\nj+LOO+8EANx22204deoU2Dye8q5lz5tvvhmhUAgAsGrVKqRSKQDetyeFSi2SSqUQi8XKx7FYDGfP\nnq1hjvzB0NAQLly4gOuuuw7Dw8OIRCIAgM7OTgwPDwMo2nblypXlNNFoFKlUCqFQqMrmpQdsofHM\nM8/gz/7szzA5OVk+R/a0z9DQENrb2/HEE0/g7bffxrXXXostW7aQTR0QjUbxR3/0R/jc5z6H+vp6\n3Hzzzbj55pvJpgIQaUPlb1koFEJzczNGR0fR3t7uVnE8xUsvvYR169YB8L49yeNGSGdqagq7d+/G\nli1b0NzcrLoWCAQWzJwVpxw7dgwdHR2Gy9LJntbI5/O4cOECNm/ejH/+539GQ0MDfvSjH6nuIZta\nY2xsDEeOHMHevXvx5JNPYmpqCocPH1bdQzZ1DtlQHD/84Q8RCoWwfv36WmeFC/K4WSQajSKZTJaP\nk8kkotFoDXPkbXK5HHbv3o3169fjQx/6EACgo6MD6XQakUgE6XS6/EZSadtUKoVoNEo2n+WNN97A\n0aNHcfz4cWSzWUxOTmLPnj1kTwfEYjHEYrHy2/Vtt92GH/3oR2RTB5w8eRKLFy8u2+xDH/oQBgYG\nyKYCEGnD0rVYLIZ8Po+JiQm0tbW5WyAP8PLLL+PYsWN48MEHywNhr9uTPG4W6e7uxuDgIIaGhpDL\n5dDX14eenp5aZ8uTMMawb98+LFu2DH/4h39YPt/T04NXXnkFAPDKK6/g1ltvLZ/v6+vDzMwMhoaG\nMDg4iOuuuw6RSARNTU0YGBgAYwyHDx9ekDb/0z/9U+zbtw979+7F9u3b8Tu/8zvYtm0b2dMBnZ2d\niMViuHz5MoDioOOaa64hmzogHo/j7NmzmJ6eBmMMJ0+exLJly8imAhBpw1tuuQUvv/wyAOCXv/wl\nPvCBDyw4D96JEyfwH//xH3jggQfQ0NBQPu91e9IGvDbo7+/Hd7/7XRQKBdx11134+Mc/XusseZIz\nZ87gwQcfxPve975yA/70pz+NlStX4rHHHkMikaha0v7DH/4Qv/jFLxAMBrFlyxasWbMGAHD+/Hk8\n8cQTyGazWL16NbZu3brgOhklp0+fxgsvvIAdO3ZgdHSU7OmAt956C/v27UMul8PixYvR29sLxhjZ\n1AEHDx5EX18fQqEQVqxYgc9+9rOYmpoim1rg8ccfx+uvv47R0VF0dHTgnnvuwa233irMhtlsFt/5\nzndw4cIFtLa2Yvv27ViyZEktiywVLXs+//zzyOVyZRuuXLkS999/PwBv25MGbgRBEARBED6BQqUE\nQRAEQRA+gQZuBEEQBEEQPoEGbgRBEARBED6BBm4EQRAEQRA+gQZuBEEQBEEQPoEGbgRBECb893//\nNx555BFbaQ8ePIg9e/YIzhFBEAsV+nICQRDzjs9//vPIZDIIBufeTe+880585jOfsSVv/fr1vvkc\nDkEQ8xsauBEEMS954IEHcNNNN9U6GwRBEEKhgRtBEAuGl19+Gf/1X/+FFStW4PDhw4hEIvjMZz6D\nD37wg+XrP/jBDzAyMoK2tjb8yZ/8CdavX19O9/DDDwMofjf2mWeeweXLl9HV1YUtW7bg+uuvBwAM\nDQ1h7969uHDhAlauXImuri5VHgYGBvDss8/i0qVLWLRoEbZs2YIPfOAD7hqCIAjfQnPcCIJYUJw9\nexZLlizB/v37cc899+DRRx/F2NgYpqamcODAAXzlK1/Bs88+i0ceeQQrVqyoSj82NoZdu3bhIx/5\nCJ5++ml87GMfw65duzA6OgoA+Na3voVrr70W+/fvxyc+8YnytyWB4seqd+3ahY9//ON4+umn8ed/\n/ufYvXs3RkZG3Co+QRA+hwZuBEHMS77xjW9gy5Yt5f8OHToEAOjo6MDHPvYxhMNhrFu3Dl1dXejv\n7wcABAIBvPPOO8hms4hEIli+fHmV3P7+fixduhQbNmxAKBTC7bffjq6uLhw7dgyJRALnz5/Hpz71\nKdTV1eHGG2/ELbfcUk57+PBhrFmzBmvXrkUwGMRNN92E7u7usn6CIAgzKFRKEMS85G//9m+r5ri9\n/PLLiEajqg+VL1q0CKlUCo2Njdi+fTteeOEF7Nu3D9dffz3+4i/+AsuWLVPJSKVSWLRokepcSUYq\nlUJLSwsaGxtV1xKJBAAgkUjgl7/8JY4dO1a+ns/nKVRKEAQ3NHAjCGJBkUqlwBgrD94SiQR6enoA\nAKtXr8bq1auRzWbxr//6r3jyySfxj//4j6r00WgUv/rVr1TnEokEVq9ejUgkgvHxcUxNTZUHb6VB\nGwDEYjGsX78en/3sZ2UWkSCIeQyFSgmCWFAMDw/jpz/9KXK5HF577TW8++67WLNmDTKZDI4cOYKp\nqSmEw2E0NjaqPHMl1qxZg8HBQbz66qvI5/Po6+vDpUuXsHbtWixatAjd3d04ePAgcrkczpw5o/Ku\nrV+/HseOHcOJEydQKBSQzWZx+vRpJJNJN01AEISPCTDGWK0zQRAEIRKtfdxuuukm3HrrrapVpZ2d\nndi6dStuvvlmpNNpPP7443jrrbcQCASwYsUK3HfffbjmmmuqVpWeOXMGBw4cwJUrV7B06VLce++9\n+O3f/m0AwNWrV8urSletWoWuri6Mj49j27ZtAIqLI773ve/hnXfeQTAYxHXXXYe/+qu/Qjwed99Q\nBEH4Dhq4EQSxYKgcgBEEQfgNCpUSBEEQBEH4BBq4EQRBEARB+AQKlRIEQRAEQfgE8rgRBEEQBEH4\nBBq4EQRBEARB+AQauBEEQRAEQfgEGrgRBEEQBEH4BBq4EQRBEARB+AQauBEEQRAEQfiE/w+YXl1t\n0dOUagAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x117eed828>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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aWsr06dPJz8+nSZMmTJgwgYiICAAWLlxIRkYGLpeL0aNHk5ycDMDu3buZOXMm\npaWlpKSkMHr0aD3MKyJymuyBfd6Rr6syvSNfE5rhuvVu73qvQUFOlycileBouHO73SxevJjp06fT\noEEDpk2bRnZ2Nrm5uXTo0IGhQ4eSlpZGWloat912G7m5uWRnZzNt2jSKiop47LHHeOaZZ3C5XMye\nPZvx48eTlJTE5MmTWb9+PSkpKU6enohInWCthW+/wmYuwa5c7n2ernNvTN9U7+hXhTqROsXxacI9\nHg+lpaWUl5dTWlpKTEwMOTk59O/fH4D+/fuTk5MDQE5ODr179yYkJISEhASaNm3Kzp07KSoqoqSk\nhDZt2mCMoV+/fr7PiIjIiay12B2b8SyYg+f/3YPn0fuxn6ZjOnbF9cQLuO58ENO2k4KdSB3k6JW7\n2NhYrrnmGu655x4aNGhAp06d6NSpE8XFxcTEeIfUR0dHU1xcDHiv9CUlJVX4vNvtJigoiLi4ON/2\nuLg43G53zZ6MiEgdYQ/sw/PmXFi/CoKD4cKOmEuuxHTti4mO++UvEJFazdFwd+jQIXJycpg5cyaN\nGjVi2rRpZGVlVdjHGFOlz86lp6eTnp4OwJQpU4iPj6+y7z6Z4ODgaj9GoFMP/ace+idQ+lfuzudo\n5scc+uffAYi47W7CrhqGK6xRtR87UHroFPXPf/Wph46Gu40bN5KQkEBkZCQAPXr0YMeOHURFRVFU\nVERMTAxFRUW+92NjYyksLPR93u12Exsbe8L2wsJCYmNjT3rM1NRUUlNTfa+re63D+Ph4rafoJ/XQ\nf+qhf+py/2zeN9jPl2M3rYWvd3s3tkvBNfo3lETHUXL4CBw+Uu111OUe1gbqn/8CoYfNmjWr1H6O\nhrv4+Hi+/PJLjh07RoMGDdi4cSPnn38+oaGhZGZmMnToUDIzM+nWrRsAXbt2ZcaMGQwePJiioiLy\n8vJITEzE5XIRFhbGjh07SEpKIisri0GDBjl5aiIijrEeD3bNp9gP34Rv94IxcH5bzPW3Yzp206TD\nIgHO0XCXlJREz549+f3vf09QUBCtWrUiNTWVo0ePMn36dDIyMnxToQC0aNGCXr16MXHiRFwuF2PH\njsXl8o4JGTduHLNmzaK0tJTk5GSNlBWResd+78Z++jH203QoPADNWmJuHIPp2gcT28Tp8kSkhhhr\nrXW6CCft27evWr8/EC4DO0099J966J/a3j9bdtw7N92i+VBeBi1bYwbd4F0ezOX4pAhA7e9hbaf+\n+S8Qelg1QKXOAAAgAElEQVQnbsuKiMiZsz98j12bjf3oHe+Vuk7dcQ0fg0mo3F8AIhKYFO5EROoY\nW16OfecV7Cfve6/UNT8X1z1/gOQeteZKnYg4R+FORKQOsetX4XnnH5D3jfdK3VU3wnlttNyiiPgo\n3ImI1AF2/7d4FsyBjWsgLgFz50O4uvdzuiwRqYUU7kREainr8cDWDXiylsC6lRAUhLluJOaK67Us\nmIj8LIU7EZFaxn7vxqa/i12VCd8XQlg45vKhmEuvwcRpShMROTWFOxGRWsLm78fzwpT/W0mifWfM\nsFGYzr0wIQ2cLU5E6gyFOxERh1hr4du92K93w+Z12LWfQWhDzA13YC7oiDkvyekSRaQOUrgTEalh\ntrwc+1k6duki2J/r3dgoHDPgKu/tV60mISJ+ULgTEalBdscmPP/6O+R+BecmYm7/Fab1hXB2c4xL\ngyRExH8KdyIiNcCWlWEX/gP7cRrExOMa/zvo0kfz04lIlVO4ExGpRtZa2LQOz5svQ943mAFXYoaN\nxoQ2dLo0EQlQCnciItXAlpV556j74A3YtQ3iz8L1q/+H6dTd6dJEJMAp3ImIVCFbdhy7egX2nVeg\nuAhim2BuvRvTJ1XTmYhIjVC4ExGpAtbjgS8+995+LTwATZtjbhyDSe6JCQ11ujwRqUcU7kRE/GBL\nj3lXk1jxMRR8B03PwXXPHyC5B8blcro8EamHTivcHTx4kC+++IKioiKGDBmC2+3GWktcXFx11Sci\nUmvZvTvx/P2vcCAPLuyIGXwTpksfTMMwp0sTkXqs0uFuy5YtTJ06ldatW7N9+3aGDBnC/v37effd\nd5k0aVJ11igiUqvYwwex772O/eQ9aByFa+JjmLadnC5LRAQ4jXA3b948HnjgATp06MDo0aMBSExM\nZNeuXdVWnIhIbWKPHsF+lOZdWeJYCebiyzHXjsBE6+6FiNQelQ53+fn5dOjQoeKHg4MpLy+v8qJE\nRGqT8oIDeNL+iV2ZAe4C763XwcMx55zndGkiIieodLg755xzWL9+PcnJyb5tGzdupGXLltVSmIiI\nk+zRI7B5PZ7VmRRsWA3WwnltcI1+AHNhR6fLExH5WZUOdyNHjuSpp54iJSWF0tJS/v73v7N27Vp+\n+9vfVmd9IiI1ypaVYT95F5s2H8qOQ8MwGl01jKO9BmKaNHW6PBGRX1TpcNemTRv++te/smLFCho2\nbEh8fDxPPvmkRsqKSMCwOzbhmTMN3AXQLgXXFUPh/LY0bn4OxwoKnC5PRKRSTmsqlNjYWIYMGVJd\ntYiI1Djv5MMr8azKhC8+/88yYY9Ax64YY5wuT0TktJ0y3D377LOV+sPtV7/6VZUVJCJSE2x5OXbN\np9hF8yF/P0REYq4ajrnqRq0oISJ12inDXdOm//d8ycGDB8nMzKRLly7Ex8dTUFDA2rVr6d+/f7UX\nKSJSVeyhH7CfvIddneWdfLj5uZi7fovp0hvjCnK6PBERv50y3N14442+/37iiSeYNGkSbdu29W3b\ntm0bb7/9dvVVJyJSRWzhAezSRdjMxVBWBq0vwAy9TaFORAJOpZ+527FjB0lJSRW2JSYmsmPHjiov\nSkSkqtgtX+DJ+AA2rQVrMT36Yy4bimmhOepEJDBVOtydd955/Otf/+Kmm26iQYMGlJaWsmDBAlq1\nalWN5YmInD57+BA2czH2s0/gwD6IjsX0uwKTOgSTcLbT5YmIVKtKh7t7772XGTNmcMcddxAREcGh\nQ4c4//zz+c1vflOd9YmIVJrduwv70TvYdSuhvAzaXITpPwhzydWYkBCnyxMRqRGVDncJCQk8/vjj\nFBQUUFRURExMDPHx8dVZm4hIpdi8XDwL/wHrV0FoQ0y/yzE9BmDOv9Dp0kREatxpzXN36NAhNm/e\njNvtJjY2li5duhAREVFdtYmInJJ1F3hHvma8Dw0aYAbdgLnieky4/lwSkfrrtAZUTJ48mebNmxMf\nH8+6deuYN28ef/jDH2jTps0ZF3D48GFeeOEFvvnmG4wx3HPPPTRr1ozp06eTn59PkyZNmDBhgi9E\nLly4kIyMDFwuF6NHj/atdbt7925mzpxJaWkpKSkpjB49WhOQigQo6y7Afvox9uM0KD2G6doXc9M4\nTFSM06WJiDiu0uFu3rx5jBs3jj59+vi2ZWdnM3fuXCZPnnzGBcydO5fk5GQefPBBysrKOHbsGAsX\nLqRDhw4MHTqUtLQ00tLSuO2228jNzSU7O5tp06ZRVFTEY489xjPPPIPL5WL27NmMHz+epKQkJk+e\nzPr160lJSTnjukSk9rGecuzit7Hvv+6dzqRzL1w3jNIgCRGRn3BVdse8vDx69epVYVvPnj3Zv3//\nGR/8yJEjbN26lUsvvRSA4OBgwsPDycnJ8U2O3L9/f3JycgDIycmhd+/ehISEkJCQQNOmTdm5cydF\nRUWUlJTQpk0bjDH069fP9xkRCQx27048j03Apr2G6dQD12OzCLrnDwp2IiL/pdJX7po2bUp2djZ9\n+/b1bVu5ciVnnXXWGR/8wIEDREZGMmvWLPbu3Uvr1q0ZNWoUxcXFxMR4b69ER0dTXFwMgNvtrjDX\nXmxsLG63m6CgIOLi4nzb4+LicLvdZ1yXiNQedt/X2HXZ2PcXQONI72oSXfvqsQsRkZ9R6XA3atQo\npkyZwuLFi4mPjyc/P5+8vDwmTZp0xgcvLy9nz549jBkzhqSkJObOnUtaWlqFfYwxVfqHeHp6Ounp\n6QBMmTKl2kf8BgcHa1Sxn9RD/9XFHh7ftY1Dr71A6frVAIT26Efk3b/DFR1b47XUxf7VNuqhf9Q/\n/9WnHlY63F1wwQU8++yzrFu3jqKiIrp06ULnzp39Gi0bFxdHXFyc72pcz549SUtLIyoqyjfdSlFR\nEZGRkYD3Sl1hYaHv8z+O2v3v7YWFhcTGnvwvgNTUVFJTU32vCwoKzrj+yvhxHV45c+qh/+pSD627\nAJv2GvbzZRDWCDPkVkzXPpQ1PQd3mQccOI+61L/aSj30j/rnv0DoYbNmzSq132lNhRIREUG/fv0A\n+O677zhy5Ihf4S46Opq4uDj27dtHs2bN2LhxI+eccw7nnHMOmZmZDB06lMzMTLp16wZA165dmTFj\nBoMHD6aoqIi8vDwSExNxuVyEhYX5lkjLyspi0KBBZ1yXiNQ8+/VubNYS7GfpUF6OSb0Wc/VwTHhj\np0sTEalTKh3unn76aa688kouuOACli1bxksvveSbjuTHARFnYsyYMcyYMYOysjISEhK49957sdYy\nffp0MjIyfFOhALRo0YJevXoxceJEXC4XY8eOxeXyjgkZN24cs2bNorS0lOTkZI2UFakj7NEj2Lf/\ngc1cAi6D6ZPqna+uSVOnSxMRqZOMtdZWZsdx48bxwgsvEBwczIMPPsidd95JeHg4f/3rX5kxY0Z1\n11lt9u3bV63fHwiXgZ2mHvqvNvbQWovN+gj7/htQXORdJmzILZiISKdLO0Ft7F9dox76R/3zXyD0\nsMpvy5aVlREcHIzb7ebQoUNceKF3WZ8fR7KKiFSGtRb76VLvqhK5X0FSO1xjHsC07eR0aSIiAaHS\n4a5Vq1YsXLiQ/Px8OnfuDHgHNISFhVVbcSISOGxZGezZgWfBHPjqSzg3EXP7r7y3YV2VnnJTRER+\nQaXD3d13380bb7xBUFAQI0eOBLxLkv103jsRkf9mPR5sxvvYD9+Eg8UQEYm549feUKe56kREqtxp\nTWJ8//33V9jWs2dPevbsWeVFiUhgsHu+xLPgJdi5FdqlYPoMxFyUohGwIiLV6JThLisryzf1SUZG\nxs/u589oWREJPPa7fdhF87E5KyC8MWbkfZiLL9eVOhGRGnDKcPfZZ5/5wt2KFSt+dj+FOxEBsJvW\n4Vn8JuzYDA1CMVfegLnqRkzDRk6XJiJSb5wy3P3hD3/w/fef/vSnai9GROome/QI9t1/YZcugiZN\nMdfegrn4Mkx03C9/WEREqtRprVBx+PBh3/JjMTExdO7cmfDw8OqqTURqOXu8FLtuJTbtNSj4DtNv\nEObmcZiQBk6XJiJSb1U63G3atIm//e1vNGvWjPj4eAoLC5kzZw4PPvggHTp0qM4aRaSWsdbCpnV4\n5j8PhQcgOg7X76Zgkto5XZqISL1X6XA3Z84c7rrrLnr37u3btnLlSubMmcPTTz9dLcWJSO1iS454\nr9Slvwu5eyC2Ca57JkGnHpigIKfLExERTiPcFRUVnTDtSffu3XnxxRervCgRqV1s3jfY917H/nsN\nHCuBpudgRt2P6dEPExzidHkiIvITlQ53/fr1Y8mSJVx11VW+bR9//LFvNK2IBB5bdhy79F3sovkQ\nEoLp2gfT9zJofYFWlRARqaUqHe727NnD0qVLeffdd4mNjcXtdlNcXExSUlKFkbSPPvpotRQqIjXL\nHsjDM/tv3qXCOnXHNfI+TFSM02WJiMgvqHS4GzhwIAMHDqzOWkSklvB8nIZ95xUICsZ19++hc29N\nQCwiUkf8Yrh7+eWXGTNmDAMGDAC8K1X8dNLiv/3tbzz00EPVVqCI1By7Zweet+bBjk3eq3UjxmPi\nmjhdloiInIZffGgmMzOzwutXX321wuuNGzdWbUUiUqNsWRl2XTbl0x7B8+RDkPcNZtgoXHdPUrAT\nEamDfvHKnbXWr/dFpHayR49gP3wTuyoT3AXQOApz3UjMpVdruTARkTrsF8PdLz1no+dwROoW6/HA\nxrV4/vkCuPOhQ1dcN90JnbprrjoRkQDwi+GuvLycTZs2+V57PJ4TXotI3WB3bsGTNh+2b4TYeK0q\nISISgH4x3EVFRfH888/7XkdERFR4HRkZWT2ViUiVsMdLObpyOeVv/wN2bYPwxpjrb8dccjWmYZjT\n5YmISBX7xXA3c+bMmqhDRKqYtRa7MgO7aD7F7gKIS8CMuAvTJxUT2tDp8kREpJpUep47Eak7bO5X\neNJegw2roeX5RI2byMHWbfVMnYhIPaBwJxJA7KEfsP+ajV2dCcEhmBvuwFx+HQ0TEjhUUOB0eSIi\nUgMU7kQChGflMuybL8Ohg5grh2EuG4pprGdiRUTqG4U7kTrO7tqG551/eFeVOP9CXL/+H8x5SU6X\nJSIiDlG4E6mjrLsAz4KXYG02RMVibhqLuWSwnqsTEannFO5E6hj73T7sxwuxn30C1oO5ejhm0A2a\n1kRERACFO5E6w+7YjOf912HbvyEoCNM3FXPF9ZgmTZ0uTUREahGFO5Fazn77NZ5358O6lRAZjRl8\nE+biKzAxcU6XJiIitZDCnUgtZXO/wrPon7D+cwgNwwy9DTPwGt1+FRGRU1K4E6llbFkZ9l9/x674\nCBo09E5rcvlQTISmNRERkV+mcCdSi9jd2/G8ORd2bsGkXusdLKFQJyIip6FWhDuPx8OkSZOIjY1l\n0qRJHDp0iOnTp5Ofn0+TJk2YMGECERERACxcuJCMjAxcLhejR48mOTkZgN27dzNz5kxKS0tJSUlh\n9OjRGGOcPC2RSrN7vvQuF7blC2gUgRkzAVevS5wuS0RE6iCX0wUAfPjhhzRv3tz3Oi0tjQ4dOjBj\nxgw6dOhAWloaALm5uWRnZzNt2jQefvhh5syZg8fjAWD27NmMHz+eGTNmsH//ftavX+/IuYicDltc\nhGf+83gmPwRf78RccR2uybMV7ERE5Iw5Hu4KCwtZt24dAwcO9G3Lycmhf//+APTv35+cnBzf9t69\nexMSEkJCQgJNmzZl586dFBUVUVJSQps2bTDG0K9fP99nRGoje/ggntdn4/njndisjzADrsL1+Iu4\nho3GNAp3ujwREanDHL8tO2/ePG677TZKSkp824qLi4mJiQEgOjqa4uJiANxuN0lJ/7esUmxsLG63\nm6CgIOLi/m9aiLi4ONxudw2dgUjl2bIy7JK3sUsXQclhTI8BmGtuwiQ0c7o0EREJEI6Gu7Vr1xIV\nFUXr1q3ZvHnzSfcxxlTps3Pp6emkp6cDMGXKFOLj46vsu08mODi42o8R6AKlh+UH8ih+9n85vmUD\nod36En7jKEKS2tXIsQOlh05R//ynHvpH/fNffeqho+Fu+/btrFmzhi+++ILS0lJKSkqYMWMGUVFR\nFBUVERMTQ1FREZGR3tGCsbGxFBYW+j7vdruJjY09YXthYSGxsbEnPWZqaiqpqam+1wUFBdV0dl7x\n8fHVfoxAV9d7aI+WYNNew2YugaBgzNgJlPW8hGKAGjqvut5Dp6l//lMP/aP++S8QetisWeXu8jga\n7m655RZuueUWADZv3sx7773Hb37zG1599VUyMzMZOnQomZmZdOvWDYCuXbsyY8YMBg8eTFFREXl5\neSQmJuJyuQgLC2PHjh0kJSWRlZXFoEGDnDw1Eezhg9iVGdj098BdgOl9qXd1ifiznC5NREQCmOPP\n3J3M0KFDmT59OhkZGb6pUABatGhBr169mDhxIi6Xi7Fjx+JyeceEjBs3jlmzZlFaWkpycjIpKSlO\nnoLUY9Za7KdLsQvmwNESaJWEa8wDmDbtnS5NRETqAWOttU4X4aR9+/ZV6/cHwmVgp9WlHtrcPXje\nmAPb/g0XdMB10zhMi/OcLqtO9bA2Uv/8px76R/3zXyD0sE7clhUJFPbQD9hF87GZH0FoKOa2ezEX\nX45xOT7bkIiI1DMKdyJ+sAd/wH7wBnZlBpQcwfRJxQwbhQlv7HRpIiJSTynciZwBu3u7d7mwnVvB\nUw4du+G69hbMOa2cLk1EROo5hTuR02BLjmDfmovN+gjCG2P6pmL6DVKoExGRWkPhTqSS7K5teF6e\nDvn7MZdfh7nqRkx4hNNliYiIVKBwJ3IK1lrsqkzssg9g93ZoHIXroScxbS5yujQREZGTUrgT+RnW\nnY/nny/ChtXQtDnm+jswl1yFaRjmdGkiIiI/S+FO5L/Ygz/gmfs0bFoHQUGY4WMxA6/RtCYiIlIn\nKNyJ/ITNy8Xz3GNQmI+5fAjmkqsxcQlOlyUiIlJpCnci/OfZug/fxC6aD2GNcD30OCaxndNliYiI\nnDaFO6n3bO5XeN75B2xcg+l2Mea6kZgmTZ0uS0RE5Iwo3Em9ZUuPYZe8jf3wLWgYhrn2FszVw/Vs\nnYiI1GkKd1LvWGuxq7Owb78CRQWYrn0xI+7CREY7XZqIiIjfFO6kXrG5X+GZ/TfY9zWc3QLX/X/G\ntO/sdFkiIiJVRuFO6gW7cwueD9+CTWshMhpzx68xvQfqFqyIiAQchTsJWPZ4KXy5Bc/SNO+cdRGR\n3iXD+l+JiYlzujwREZFqoXAnAcnmfoXnxb/A/lwIa4QZNgoz4CpMaEOnSxMREalWCncSUKynHPv2\nK9j0dyG8MWbsRExyDy0ZJiIi9YbCnQQMu2MTnoWvwc4tmH5XYIbehmkc5XRZIiIiNUrhTuo8W16O\n/eRd7DuvQuNIzB2/xtX3MqfLEhERcYTCndRpdusGPK/P9k5t0qk7rjETMI3CnS5LRETEMQp3UifZ\nwwexb7yEXbkMYuJx3TMJUnphjHG6NBEREUcp3EmdY7duwPPSVDj4A+bKYZhrbsaENHC6LBERkVpB\n4U7qDFtchOefL8K6bEg427u6RMvWTpclIiJSqyjcSa1nrcWTtQS7YC54yjHXjMBccT0mNNTp0kRE\nRGodhTup1eyubRRNn4/dsgEu6IBrxF2Y5uc6XZaIiEitpXAntZItL8dmfYR9YzY0jsLcerd37jpX\nkNOliYiI1GoKd1Kr2O/d2GUfYj9Lh2I3tO1E3MN/wV1yzOnSRERE6gSFO6kVrKcc+/4b2A/fAk85\ntO+Cq+9dkNILV3hjULgTERGpFIU7cZQtK8OuzMCu+Bj27IAuvXFdcwumeUunSxMREamTFO7EMXbz\nF3jemgu5X0HC2ZhRv8HVJ9XpskREROo0hTupcTb3Kzzv/AM2roHoOK0uISIiUoUcDXcFBQXMnDmT\n77//HmMMqampXHXVVRw6dIjp06eTn59PkyZNmDBhAhEREQAsXLiQjIwMXC4Xo0ePJjk5GYDdu3cz\nc+ZMSktLSUlJYfTo0QoLtYw9dhSb9hp22QcQ2hBz/R2Y1GsxISFOlyYiIhIwHA13QUFBjBw5ktat\nW1NSUsKkSZPo2LEjy5cvp0OHDgwdOpS0tDTS0tK47bbbyM3NJTs7m2nTplFUVMRjjz3GM888g8vl\nYvbs2YwfP56kpCQmT57M+vXrSUlJcfL05CfslvV45r8A+XmYvpdhht6KiYxxuiwREZGA43Ly4DEx\nMbRu7V0+KiwsjObNm+N2u8nJyaF///4A9O/fn5ycHABycnLo3bs3ISEhJCQk0LRpU3bu3ElRUREl\nJSW0adMGYwz9+vXzfUacZY+W4HnxL3im/w+Ul+Ga8L+4bv+Vgp2IiEg1qTXP3B04cIA9e/aQmJhI\ncXExMTHev/yjo6MpLi4GwO12k5SU5PtMbGwsbreboKAg4uLifNvj4uJwu901ewJyArt3F54502B/\nLmbwzZgrb8A00JJhIiIi1alWhLujR48ydepURo0aRaNGjSq8Z4yp0mfn0tPTSU9PB2DKlCnEx8dX\n2XefTHBwcLUfozY6svRdDv59Kq7IKCIfmUpoSs8z/q762sOqpB76R/3zn3roH/XPf/Wph46Hu7Ky\nMqZOncrFF19Mjx49AIiKiqKoqIiYmBiKioqIjIwEvFfqCgsLfZ91u93ExsaesL2wsJDY2NiTHi81\nNZXU1P+bbqOgoKA6TssnPj6+2o9Rm9h9X+N5fTZs3QDtkmHcgxxsHMVBP3pQ33pYHdRD/6h//lMP\n/aP++S8QetisWbNK7efoM3fWWl544QWaN2/O4MGDfdu7du1KZmYmAJmZmXTr1s23PTs7m+PHj3Pg\nwAHy8vJITEwkJiaGsLAwduzYgbWWrKwsunbt6sg51Vf26BE8b7yE57EHYO8uzA134Pr1I5jGUU6X\nJiIiUq84euVu+/btZGVl0bJlS377298CMGLECIYOHcr06dPJyMjwTYUC0KJFC3r16sXEiRNxuVyM\nHTsWl8ubT8eNG8esWbMoLS0lOTlZI2VrkP16F54502Hf15g+qZjrR2rAhIiIiEOMtdY6XYST9u3b\nV63fHwiXgU/Fk7MC+/LTEN4Y16jfYNp3rvJjBHoPa4J66B/1z3/qoX/UP/8FQg8re1vW8WfupG6y\ned/gWTQf1mZDYjtc9/4R0zjS6bJERETqPYU7OS3WWuyKj7D/fBGCG2iKExERkVpG4U4qzRbm45n7\nNGzfCO1ScI2bqAETIiIitYzCnfwi6ynHLngZm7kYgkIwt4zH9BuECQpyujQRERH5Lwp3ckq27Dj2\nH89hVy7D9LoUc/VwzFmVe6BTREREap7CnfwsW3gAz/NTYO9OzJBbcA2+2emSRERE5Bco3MkJbHk5\nbFqL57Xn4VgJrnv+gOncy+myREREpBIU7qQCuzbbO8VJ3jcQl4DroScxLVs7XZaIiIhUksKdAGB/\nKMK+ORf7+XKIS8CMexDTuRcmpIHTpYmIiMhpULgT79W612ZByWFM6rWYYaM1ElZERKSOUrirx+zx\nUuyCOdjli6FVEq5R92Oat3S6LBEREfGDwl09Zb9343lhCuzahrlsCOb62zHBIU6XJSIiIn5SuKtn\n7MEfsJ+8i126CMrLMXf9Dle3vk6XJSIiIlVE4a4esTu34pkzDQq+g869cd1wBybhbKfLEhERkSqk\ncFcP2O/24Xl9NmxaC9GxuCb9BXP+hU6XJSIiItVA4S6A2ZIj2Iz3se+/DsEhmGtvwQwcjGkU4XRp\nIiIiUk0U7gKUXf85nrkz4Mgh6NQd14jxmLgmTpclIiIi1UzhLoBYa2HjGuyqLOzqTGh5Pq6Rj2Ja\nJTldmoiIiNQQhbsAYbduwPPxQti0DlwuzKAbMNfcjGkQ6nRpIiIiUoMU7uo4e+wo9r3XsUvTILyx\n97m6y6/DhCrUiYiI1EcKd3WY3b4Rz9xnwJ2P6doXM/I+TFgjp8sSERERBync1UH2h++x77yC/ewT\nSGiG68EnMBe0d7osERERqQUU7uoQ6ynHfvgWdsnbcLwUkzoEM2QEpqGu1omIiIiXwl0dYQ8fwvPi\nU7B1A6T0xHXdSMzZLZwuS0RERP5/e/ceVFXd73H8vTeIoCiyUUC8PIlQqXmBoNSDjxpYZ8xp1OFY\n/pGD1tDxGpXjpek2o06W94441pz0pOPTSM8I2aR2MktH6YJjjsdrXDSxVC4b8QIcNnv9zh+e9pTo\n82CIGxef119r7b3Y+7s+/GB/9/rttXYro+buHmB+LsbasAou/nr9c3UjHsfhcPi7LBEREWmF1Ny1\nYuZ/6zDbP8b8dy4Eh+Cc8waO/kP8XZaIiIi0YmruWiFjeeF/DmH9fSNcOIfjX1JxTHoeR4eO/i5N\nREREWjk1d62MOVOI9bf34fRPENrp+tG6gUn+LktERETuEWruWgnjqcfs3o7Z/jcI7oAj40Ucj4zA\n0S7I36WJiIjIPUTNnZ8ZYzDff4PZ8Xc4XwpDhuKcMgtHp87+Lk1ERETuQWru/Mj8chZr039AySmI\n7onz3+dD4nCdCSsiIiJ/mpo7PzAeD+bTLZgvtkGH0OuXN0kZg8Pp9HdpIiIico9Tc3eXmV/OYv3X\nGjhTeL2hm/Asjs5d/F2WiIiI2IStmrvDhw+zceNGLMsiNTWV8ePH+7skH1NXg9nxCWbX/1+zbvpC\nHInD/F2WiIiI2IxtmjvLsvjwww957bXXiIiIYOHChSQlJdGzZ09/l4b58TusTzZA+QUcwx7D8W/T\ndMKEiIiItAjbNHdFRUVER0cTFRUFwPDhwykoKPBrc2caPFz9+D+xcjZAj7/gfGUxjgcH+a0eERER\nsT/bNHdut5uIiAjfekREBIWFhY222717N7t37wZg6dKldO3atcVqqv16J5dzNhA86l/pPGOBrln3\nJwUGBrbo76ktUIbNo/yaTxk2j/JrvraUoW2au6ZKS0sjLS3Nt15RUdFiz2UGJBK+aC2Xo3tTWX25\nxRryvSQAAAvLSURBVJ7H7rp27dqiv6e2QBk2j/JrPmXYPMqv+eyQYUxMTJO2s821N1wuF5WVlb71\nyspKXC6XHysChzOAoIcS/VqDiIiItC22ae769u3L+fPnKSsro6Ghgfz8fJKS9J2sIiIi0rbYZlo2\nICCAadOmsWTJEizLYvTo0fTq1cvfZYmIiIjcVbZp7gASExNJTNQ0qIiIiLRdtpmWFRERERE1dyIi\nIiK2ouZORERExEbU3ImIiIjYiJo7ERERERtRcyciIiJiI2ruRERERGzEYYwx/i5CRERERO4MHblr\nYQsWLPB3Cfc8Zdh8yrB5lF/zKcPmUX7N15YyVHMnIiIiYiNq7kRERERsJOCtt956y99F2F1sbKy/\nS7jnKcPmU4bNo/yaTxk2j/JrvraSoU6oEBEREbERTcuKiIiI2Eigvwuws8OHD7Nx40YsyyI1NZXx\n48f7u6RWY+bMmQQHB+N0OgkICGDp0qVcvXqVVatWUV5eTrdu3XjppZcIDQ0FIDc3lz179uB0Opk6\ndSpDhgwBoKSkhOzsbOrr60lISGDq1Kk4HA5/7lqLWbduHYcOHSIsLIwVK1YA3NHMPB4Pa9eupaSk\nhE6dOpGVlUVkZKTf9vdOu1l+OTk5fPXVV3Tu3BmAyZMnk5iYCCi/m6moqCA7O5tLly7hcDhIS0tj\n7NixGodNdKv8NA6brr6+njfffJOGhga8Xi9Dhw5l0qRJGoM3MtIivF6vmTVrlrlw4YLxeDxm7ty5\nprS01N9ltRozZsww1dXVf7ht8+bNJjc31xhjTG5urtm8ebMxxpjS0lIzd+5cU19fby5evGhmzZpl\nvF6vMcaYBQsWmFOnThnLssySJUvMoUOH7u6O3EXHjh0zxcXF5uWXX/bddicz27Vrl3n//feNMcbs\n37/frFy58m7uXou7WX5bt241n376aaNtld/Nud1uU1xcbIwxpqamxsyZM8eUlpZqHDbRrfLTOGw6\ny7JMbW2tMcYYj8djFi5caE6dOqUxeANNy7aQoqIioqOjiYqKIjAwkOHDh1NQUODvslq1goICRo4c\nCcDIkSN9eRUUFDB8+HDatWtHZGQk0dHRFBUVUVVVRW1tLffffz8Oh4O//vWvts64f//+vneiv7mT\nmR08eJBRo0YBMHToUI4ePYqx0Udyb5bfrSi/mwsPD/d9ID0kJIQePXrgdrs1DpvoVvndivJrzOFw\nEBwcDIDX68Xr9eJwODQGb6Bp2RbidruJiIjwrUdERFBYWOjHilqfRYsW4XQ6GTNmDGlpaVRXVxMe\nHg5Aly5dqK6uBq5nGR8f7/s5l8uF2+0mICCgUcb/6B+lHd3JzH4/ZgMCAujQoQNXrlzxTRXZ1a5d\nu9i3bx+xsbFMmTKF0NBQ5dcEZWVlnD59mri4OI3DP+H3+Z08eVLj8DZYlsX8+fO5cOECTzzxBPHx\n8RqDN1BzJ36xaNEiXC4X1dXVLF68mJiYmD/c73A4bPvZuZaizG7f448/Tnp6OgBbt25l06ZNzJgx\nw89VtX51dXWsWLGCjIwMOnTo8If7NA7/uRvz0zi8PU6nk2XLlnHt2jWWL1/O2bNn/3C/xqDOlm0x\nLpeLyspK33plZSUul8uPFbUuv2URFhZGcnIyRUVFhIWFUVVVBUBVVZXvXdKNWbrdblwulzKGO5rZ\n7+/zer3U1NTQqVOnu7UrftGlSxecTidOp5PU1FSKi4sB5fePNDQ0sGLFCkaMGMGjjz4KaBzejpvl\np3H453Ts2JEBAwZw+PBhjcEbqLlrIX379uX8+fOUlZXR0NBAfn4+SUlJ/i6rVairq6O2tta3fOTI\nEXr37k1SUhJ79+4FYO/evSQnJwOQlJREfn4+Ho+HsrIyzp8/T1xcHOHh4YSEhPDTTz9hjGHfvn1t\nLuM7mdnDDz/MN998A8B3333HgAEDbP/u97cXA4AffviBXr16AcrvVowxrF+/nh49ejBu3Djf7RqH\nTXOr/DQOm+7y5ctcu3YNuH7m7JEjR+jRo4fG4A10EeMWdOjQIT766CMsy2L06NFMnDjR3yW1Chcv\nXmT58uXA9XdFKSkpTJw4kStXrrBq1SoqKioancq+bds2vv76a5xOJxkZGSQkJABQXFzMunXrqK+v\nZ8iQIUybNu2e+yNsqtWrV3P8+HGuXLlCWFgYkyZNIjk5+Y5lVl9fz9q1azl9+jShoaFkZWURFRXl\nz12+o26W37Fjxzhz5gwOh4Nu3bqRmZnp+9yO8mvs5MmTvPHGG/Tu3dv3dzZ58mTi4+M1DpvgVvkd\nOHBA47CJfv75Z7Kzs7EsC2MMw4YNIz09/Y6+ftghQzV3IiIiIjaiaVkRERERG1FzJyIiImIjau5E\nREREbETNnYiIiIiNqLkTERERsRE1dyLSZmzbto3169f7uwwRkRalS6GIiG08++yzvuX6+noCAwNx\nOq+/h83MzGTEiBF3rZY9e/awfft23G437du3JzY2lqysLEJCQsjOziYiIoJnnnnmrtUjIm2HvltW\nRGxj8+bNvuWZM2fywgsvMGjQoLtex/Hjx/n444959dVX6dOnD1evXuXgwYN3vQ4RaZvU3IlIm5GT\nk8OFCxeYM2cOZWVlzJo1i+nTp5OTk0NdXR2TJ08mNjaW9evXU1FRwYgRI3juued8P79nzx4+++wz\nLl26RFxcHJmZmXTr1q3R8xQVFREfH0+fPn0ACA0NZdSoUQDs3r2b/fv3A/D5558zYMAAFixYgNvt\nZsOGDZw4cYLg4GCefPJJxo4d66u7tLQUp9PJjz/+SPfu3Zk+fTr33XcfAHl5eezcuZPa2lrCw8N5\n/vnnGThwYAsmKSKtmZo7EWnTCgsLWbNmDSdOnODdd99l8ODBvP7663i9XubNm8ewYcPo378/BQUF\n5ObmMn/+fLp3705eXh5r1qxh8eLFjR4zPj6erVu3kpOTw6BBg+jbty/t2rUDIC0tjVOnTv1hWtay\nLN555x2Sk5PJysqisrKSRYsWERMTw5AhQwA4ePAgL774IrNnz2bHjh0sW7aMNWvWUFZWxhdffMHb\nb7+Ny+WirKwMy7LuXoAi0urohAoRadPS09MJCgpi8ODBtG/fnpSUFMLCwnC5XDz44IOcPn0agC+/\n/JIJEybQs2dPAgICmDBhAmfOnKG8vLzRY/br14+5c+dSUlLC0qVLmTZtmu97pm+muLiYy5cvk56e\nTmBgIFFRUaSmppKfn+/bJjY2lqFDhxIYGMi4cePweDwUFhbidDrxeDycO3eOhoYGIiMjiY6Obpmw\nROSeoCN3ItKmhYWF+ZaDgoIardfV1QFQXl7Oxo0b2bRpk+9+Ywxut/umU7MJCQkkJCRgWRbHjh1j\n5cqVxMTEMGbMmEbblpeXU1VVRUZGhu82y7Lo16+fbz0iIsK37HQ6iYiIoKqqin79+pGRkcEnn3zC\nuXPnGDx4MFOmTMHlcv25QETknqfmTkSkCbp27crEiRNv+4xbp9PJwIEDeeihhygtLQXA4XA0euzI\nyEjee++9Wz5OZWWlb9myLCorKwkPDwcgJSWFlJQUampq+OCDD9iyZQuzZ8++rTpFxD40LSsi0gRj\nxowhLy/P16DV1NTw7bff3nTbgoICDhw4wNWrVzHGUFRUxPHjx4mPjweuHy28ePGib/u4uDhCQkLI\ny8ujvr4ey7I4e/YsRUVFvm1KSkr4/vvv8Xq97Nixg3bt2hEfH8+vv/7K0aNH8Xg8BAUFERQU1Kh5\nFJG2RUfuRESa4JFHHqGuro7Vq1dTUVFBhw4dGDhwIMOGDWu0bceOHdm5cycbNmzA4/EQHh7OU089\n5Tvq99hjj7Fy5UoyMjLo378/8+bNY/78+WzatImZM2fS0NBATEwMTz/9tO8xk5KSyM/PJzs7m+jo\naF555RUCAwPxeDxs2bKFX375hYCAAB544AEyMzPvWi4i0vroIsYiIq3c7y/hIiLyz2haVkRERMRG\n1NyJiIiI2IimZUVERERsREfuRERERGxEzZ2IiIiIjai5ExEREbERNXciIiIiNqLmTkRERMRG1NyJ\niIiI2Mj/AVCx2JXRS/1aAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x116ea62b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "(<matplotlib.figure.Figure at 0x116c06be0>,\n",
       " <matplotlib.figure.Figure at 0x117eed828>,\n",
       " <matplotlib.figure.Figure at 0x116ea62b0>)"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "plot_episode_stats(stats)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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QqVQQBEHX1amz9PR0lJSUNFn+RASJRAJjY+MWtV8YY4yxR5leBVnFxcUwNDSE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\nrkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x117eed9e8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plot_visited_states(visits, NUM_EPISODES)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "anaconda-cloud": {},
  "kernelspec": {
   "display_name": "Python [conda env:py35]",
   "language": "python",
   "name": "conda-env-py35-py"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 1
}
